Slope-intercept form follows the format: [tex] y=mx+b [/tex]
where m is the slope, b is the y-intercept, and x and y is a given point found on the line.
To find the slope given two points, we use the equation:
[tex] \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
where subscripts 1 and 2 correspond to a particular point, but it can be either point that correspond to 1 or 2. Let's have (0,8) be the 1 subscripts and (6,-4) be the 2 subscripts:
[tex] \frac{-4-8}{6-0}=\frac{-12}{6}=-2 [/tex]
So now we know that the slope is -2. Let's plug this into the equation for m, and use the point (0,8) to solve for b, the y-intercept:
[tex] 8=-2(0)+b [/tex]
[tex] b=8 [/tex]
So then we can plug b into the equation and we have the slope-intercept form of the equation:
[tex] y=-2x+8 [/tex]
