Answer:
[tex]y=4x+5[/tex]
Step-by-step explanation:
Mathematically, the slope m of a line is:
[tex]m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}[/tex]
Therefore, if we know the slope m of the line and a point [tex](x_o , y_o)[/tex] we will be able to find its equation simply solving for y:
[tex]y-y_o=m(x-x_o)[/tex]
Replacing the data provided by the problem:
[tex]y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5[/tex]
