Algebra-1

To find the graph that is perpendicular to the line given by y = −2x + 3, we need to find the line with a slope that is the negative reciprocal of −2.

 

Given Equation: Slope m = −2

 

Perpendicular Slope:

The negative reciprocal of −2 is .

 

Analysis of Options:

A. Slope calculation using points (−4, 6) and (0, 8):

This slope matches , so this graph is perpendicular.

 

B. Slope calculation using points (−4, −3) and (0, −5):