The slope-intercept form for the equation of a straight line is:

y = mx + b

where m is the slope and b is the y-intercept.

1. y = 4x - 3 = 4x + (-3). -3 is the
y-intercept

2. y = mx + b. m is the slope, and
b is the y-intercept,

3. The slope (m) of the line is the change in y over the change in x between any two points on the line. We have two points in ordered pair format (x,y): (2,-8) and (0.-4)

Change in y = -4 - (-8) = -4 + 8 = 4

Change in x = 0 - 2 = -2

**m =** Change in y/Change in x = 4/(-2) =
**-2**

So far:

y = -2x + b

To find b, plug one of the (x,y) points into the equation, say point M, (2,-8):

y = -2x + b

-8 = -2(2) + b [Plug in y=-8, x=2]

-8 = -4 + b

**-4 = b** (the y-intercept)

The equation of the line is:

**y = -2x -4**