equation of a line passes through (-8,3) with a slope of -2

Question

slope intercept equation

Answer 1

A few definitions first;

The slope intercept equation is y = mx+b

m = the slope, so here it is -2; slope is also defined as 'rise over run' so you could think of -2 as '-2 rise over 1 run'

b = the y-axis intercept

Answer: y = -2x-13

To solve this problem;

1) plot the coordinate you have on a graph (starting at (0,0) move to the left until you hit -8 and then up until you are at +3)

2) Since your slope is negative the line will be higher on the left and lower on the right, so starting at the point you have plotted move down 2 units and to the right one unit.

3) Do this until you intersect with the y-axis (at -13), this is your value for 'b'

4) Plug your values for 'b' and 'm' into the slope-intercept equation