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= −83- \frac { 8 } { 3 }−38 .
A) y=-2
B) y=2
C) y=6
D) y=5
E) y=−6y = - 6y=−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 HortaAug 01, 2024
Final Answer :
E
Explanation :
The slope formula is m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}m=x2−x1y2−y1 . Substituting the given values, we get −83=y−21−(−2)-\frac{8}{3} = \frac{y - 2}{1 - (-2)}−38=1−(−2)y−2 . Simplifying, −83=y−23-\frac{8}{3} = \frac{y - 2}{3}−38=3y−2 . Multiplying both sides by 3, we get −8=y−2-8 = y - 2−8=y−2 . Adding 2 to both sides gives y=−6y = -6y=−6 .
Learning Objectives
- Use the formula for slope to find missing coordinates that satisfy a given slope.