Asked by Misti Graham on Jul 26, 2024

Verified

Use the formula for slope to find the value of y such that the line through the points (-2,2) and (1,y) has slope of m= $−38 $ .

A) y=-2

B) y=2

C) y=6

D) y=5

E) $y=−6$

A) y=-2

B) y=2

C) y=6

D) y=5

E) $y=−6$

Slope Formula

The slope formula, \(m = (y_2 - y_1) / (x_2 - x_1)\), calculates the steepness, incline, or grade of a linear equation's graph.

Slope

A measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

- Use the formula for slope to find missing coordinates that satisfy a given slope.

Verified Answer

VH

Vivian Horta

5 days ago

Final Answer :

E

Explanation :

The slope formula is $m=x_{2}−x_{1}y_{2}−y_{1} $ . Substituting the given values, we get $−38 =1−(−2)y−2 $ . Simplifying, $−38 =3y−2 $ . Multiplying both sides by 3, we get $−8=y−2$ . Adding 2 to both sides gives $y=−6$ .

## Learning Objectives

- Use the formula for slope to find missing coordinates that satisfy a given slope.