There Is A Line That Includes The Point (7, 10) And Has A Slope Of -3. What Is Its Equation Inpoint-slope (2024)

Answer:

X=15

Step-by-step explanation:

4*x/3+3-(23)=0

Step by step solution :

STEP

1

:

x

Simplify —

3

Equation at the end of step

1

:

x

((4 • —) + 3) - 23 = 0

3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

3 3 • 3

3 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 • 3 4x + 9

—————————— = ——————

3 3

Equation at the end of step

2

:

(4x + 9)

———————— - 23 = 0

3

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

23 23 • 3

23 = —— = ——————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(4x+9) - (23 • 3) 4x - 60

————————————————— = ———————

3 3

STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

4x - 60 = 4 • (x - 15)

Equation at the end of step

4

:

4 • (x - 15)

———————————— = 0

3

4*x/3+3-(23)=0

Step by step solution :

STEP

1

:

x

Simplify —

3

Equation at the end of step

1

:

x

((4 • —) + 3) - 23 = 0

3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

3 3 • 3

3 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 • 3 4x + 9

—————————— = ——————

3 3

Equation at the end of step

2

:

(4x + 9)

———————— - 23 = 0

3

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

23 23 • 3

23 = —— = ——————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(4x+9) - (23 • 3) 4x - 60

————————————————— = ———————

3 3

STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

4x - 60 = 4 • (x - 15)

Equation at the end of step

4

:

4 • (x - 15)

———————————— = 0

3

4*x/3+3-(23)=0

Step by step solution :

STEP

1

:

x

Simplify —

3

Equation at the end of step

1

:

x

((4 • —) + 3) - 23 = 0

3

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

3 3 • 3

3 = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4x + 3 • 3 4x + 9

—————————— = ——————

3 3

Equation at the end of step

2

:

(4x + 9)

———————— - 23 = 0

3

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

23 23 • 3

23 = —— = ——————

1 3

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(4x+9) - (23 • 3) 4x - 60

————————————————— = ———————

3 3

STEP

4

:

Pulling out like terms :

4.1 Pull out like factors :

4x - 60 = 4 • (x - 15)

Equation at the end of step

4

:

4 • (x - 15)

———————————— = 0

3

Answer:

3<_x<13/2

Step-by-step explanation:

There Is A Line That Includes The Point (7, 10) And Has A Slope Of -3. What Is Its Equation Inpoint-slope (2024)

FAQs

What is the point slope form of a line with slope 3 that contains the point 10 1? ›

Final answer:

The point-slope form of a line with slope -3 that contains the point (10,-1) is y + 1 = -3(x - 10).

What is the equation of a line that passes through the point 3 7 and has a slope of 2/3? ›

Final answer: To find the equation of the line that passes through the point (3,7) with a slope of 2/3, we use the slope-intercept form y = mx + b. After substituting the given values and solving for b, we get the equation y = (2/3)x + 5. Therefore, the equation of the line is y = (2/3)x + 5.

What is the equation of a line that passes through 7/8 and has a slope of 3? ›

What is the equation of a line that passes through (7, 8) and has a slope of -3? Therefore, the equation of the line is y = -3x + 29.

What is the equation of the line that passes through the points 3 and 7 and has a slope of 4 3? ›

So, the equation of the line that passes through the point (3, -7) and has a slope of -4/3 is y = -(4/3)x - 3.

How do you find the slope with 3 points? ›

If all 3 points are on the same line, then you only need to use 2 of them in the slope formula. If they are not on the same line, then you will have to carry out the slope equation 3 times, 1 for each pair of coordinates because they will create 3 different lines. Remember that the slope equation is (y2 - y1)/(x2-x1).

What is the equation of the line? ›

The equation of a straight line is y=mx+c y = m x + c m is the gradient and c is the height at which the line crosses the y -axis, also known as the y -intercept.

What is the equation of a line passing through the point (- 3 7 and parallel to the Y axis? ›

The equation of the line passing through the point (-3, -7) and parallel to y-axis will be x = -3. Q.

What does point slope look like? ›

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept). We can rewrite an equation in point-slope form to be in slope-intercept form y=mx+b, to highlight the same line's slope and y-intercept.

How do you find the slope of a line in 8th grade? ›

We find it by dividing the vertical change (rise) by the horizontal change (run).

What is the slope of 6? ›

The line crosses the y-axis at 6 , as the line is always at that value. As it is a horizontal line, the slope is zero.

What does the slope-intercept form look like? ›

What is the Slope Intercept Form of a Line? The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

What is the equation of the line which passes through the point? ›

We start with the general equation of a straight line y = mx + c. This then represents a straight line with gradient m, passing through the point (x1,y1). So this general form is useful if you know the gradient and one point on the line.

What is the point-slope form of a line with slope 3 2 that contains the point (- 1 2? ›

Explanation: The point-slope form of a line is given by the formula y – y1 = m(x – x1), where m is the slope and (x1, y1) are the coordinates of a point on the line. So, the point-slope form of the line with slope 3/2 that contains the point (-1,2) is y – 2 = 3/2x + 3/2.

What is the point-slope form of a line that has a slope of 3 and passes through point 1/4? ›

1 Expert Answer

The equation of such a line is given by y=Ax+B where we have to determine the constants A, B. Since the slope is 3 we have that A=3 and since the line passes through the point (1,4) we must have that 4=3+B which implies that B=1. Thus, the equation of the line is y=3x+1.

How do you find the slope of the line that contains the point? ›

The slope, or steepness, of a line is found by dividing the vertical change (rise) by the horizontal change (run). The formula is slope =(y₂ - y₁)/(x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of two points on the line. Created by Sal Khan and Monterey Institute for Technology and Education.

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