Answer :
The slope intercept form is given by:
[tex]y=mx+b[/tex]Where
m is the slope
b is the y-intercept (y-axis cutting point)
Since slope = 4, we can write:
y = 4x + b
To find b, we put (5,5) into x and y in the equation, respectively. So, we have:
[tex]\begin{gathered} y=4x+b \\ 5=4(5)+b \\ 5=20+b \\ b=5-20 \\ b=-15 \end{gathered}[/tex]Final Equation:
[tex]y=4x-15[/tex]