Using the points (-4, 3) and (2,-7).
Write an equation to the line, then graph the line.
Using the points (6,7) and (-3, 1)
Write an equation to the line, then graph the line.
I'll do the first one....you can try the second
(-4, 3) and (2,-7)
Find the slope
[ subtract the y coordinates in some order] [-7 -3] -10 -5
____________________________________ = ______ = __ = __
[subtract the x coordinates in the same order] [2 - -4 ] 6 3
Using the slope and either point - I'll use (2, -7) - we have
y = slope ( x - x coordinate of point) + y coordinate of point
y = (-5/3) ( x - 2) - 7 simplify
y = (-5/3)x + 10/3 - 7
y = (-5/3)x + 10/3 - 21/3
y = (-5/3)x - 11/3
Here's the graph : https://www.desmos.com/calculator/rjqsgifzrv