The first step is to find any two sets of points on the line to find the slope. Let's use (0, -6) and (4,10).
[tex]Slope=\frac{y2-y1}{x2-x1} =\frac{10--6}{4-0} =\frac{16}{4} =4[/tex]
Ok, now we found the slope. Now let's put it into the point-slope form which requires any one point on the line and the slope. Lets use the point (0,-6)
[tex](y-y0)=m(x-x0)\\(y+6)=4(x-0)\\y=4x-6[/tex]
The last equation is the slope-intercept form.
Hope that helped!
