what is the answer to the problem?

Question

The points (-8,-4) and (-10,-2) fall on a particular line. What is its equation in point-slope form?

Answer 1

slope = (-8+10)/(-4+2) = 2/-2 = -1

y=-x + b is the line where you can solve for b by plugging in either point

-4 =-(-8) +b

b = -4-8 =-12

y= -x -12 is the line through the two points

check it by plugging in either or both points. It works

-2 = -(-10)-12 = 10-12 = -2 or the other point

-4= -(-8)-12 = 8-12 = -4

It sometimes helps to plot the points on a graph

draw a line connecting them. It's a downward sloping line with negative slope which intercepts the x axis below -8