Given:
The slope of the line is 5 and y-intercept is -3.
The slope intercept form of the equation of line is,
[tex]\begin{gathered} y=mx+b \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}[/tex]
The required equation of line is,
[tex]\begin{gathered} m=5,b=-3 \\ y=mx+b \\ y=5x-3 \end{gathered}[/tex]
Answer: option c)
[tex]y=5x-3[/tex]
