Question 19318
The slope-intercept is: {{{y = mx + b}}} where m is the slope and b is the y-intercept.

First find the slope using: {{{m = (y2-y1)/(x2-x1)}}}

(0, 1) = (x1, y1)
(3, -8) = (x2, y2)

{{{m = (-8-1)/(3-0)}}}
{{{m = -9/3}}}
{{{m = -3}}}
Now you can write:

{{{y = -3x + b}}} Now you need to find the value of b, the y-intercept. This is done by substituting the x- and y-coordinates from either of the two given points and solving for b. Let's use the first given point (0, 1).

{{{1 = -3(0) + b}}}
{{{b = 1}}}
Now you can write the final equation:

{{{y = -3x + 1}}}