Asked by Joaquin Gutierrez on Mar 10, 2024

Verified

Write the equation of the line that passes through the point (2,-2) and has slope m=-4 . Write the equation in slope-intercept form.

A) y=4x

B) y=-4x-2

C) y=4x+2

D) y=-4x+6

E) y=-4x-6

A) y=4x

B) y=-4x-2

C) y=4x+2

D) y=-4x+6

E) y=-4x-6

Slope-intercept Form

An equation of a straight line in the format y = mx + b, where m is the slope and b is the y-intercept.

Slope

The measure of the steepness of a line on a graph, defined as the ratio of the vertical change to the horizontal change between two points on the line.

- Understand and apply the concept of slope to find equations of lines.

Verified Answer

BV

Betty Vilenchuk

Mar 10, 2024

Final Answer :

D

Explanation :

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. We are given the point (2,-2), which means that x=2 and y=-2. We are also given that the slope is m=-4. Substituting these values into the slope-intercept form gives us:

-2 = (-4)(2) + b

-2 = -8 + b

b = 6

Therefore, the equation of the line is y = -4x + 6, which is option D.

-2 = (-4)(2) + b

-2 = -8 + b

b = 6

Therefore, the equation of the line is y = -4x + 6, which is option D.

## Learning Objectives

- Understand and apply the concept of slope to find equations of lines.

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