The solution line contains the points (6,-3) and (-2,5)?

Question

The solution set contains the points (6,-3) and (-2,5) Write the equation for the solution set lines?
Can someone please help?

Answer 1

Slope-intercept form line equation is y = mx + c, where m is lope and c is y-intercept.

Find the slope m = (y2 - y1) / (x2 - x1)

m = (5 - (-3))/ ( -2 - 6)

= 8/ -8 = -1


The line equation is y = -x + c

Find the y-intercept value by substituing any coordiante point values in the equation.

-3 = - (6) + c

c = 3

THe line equation is y = -x + 3