Answer:
[tex]y=\frac{3}{4}x-5[/tex]
Step-by-step explanation:
The formula for slope-intercept form:
[tex]y=mx+b[/tex]
[tex]m[/tex]= slope
[tex]b[/tex] = [tex]y[/tex]-intercept
Plugin the slope and [tex]y[/tex]-intercept
Slope is [tex]\frac{3}{4}[/tex]
[tex]y[/tex]-intercept is the [tex]y[/tex] value in a coordinate point, so [tex]y[/tex]-intercept is [tex]-5[/tex]
[tex]y=\frac{3}{4}x-5[/tex]
Therefore, [tex]\bold{m=\frac{3}{4}}[/tex] and [tex]\bold{b=-5}[/tex], hence [tex]\bold{y=\frac{3}{4}x-5}[/tex] is the equation.