Answer: y = (1/4)x - 1
Step-by-step explanation:
Slope intercept form is [tex]y = mx + b[/tex]. The [tex]y[/tex]-intercept is -1 so we have [tex]y = mx - 1[/tex]. To find [tex]m[/tex], look at the points [tex](0, -1)[/tex] and [tex](4, 0)[/tex]. The line goes up 1 and over 4, so the slope, [tex]m[/tex], equals [tex]1/4[/tex]. Thus the full equation is
[tex]$y = (1/4)x - 1[/tex].
