Answer:
![y=5x-3](https://img.qammunity.org/2020/formulas/mathematics/high-school/r2jimize1vyhalq2dgtwluovqwly3o8jxi.png)
Explanation:
the equation of a line in slope-intercept form for a line with slope = 5 and y-intercept at (0, -3)
Slope intercept form of a line is
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
where m is the slope and b is the y intercept
given slope =5 and y intercept
![b=-3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bas0ntldyngpgyo8c8qwrsbb7lhlqubmrr.png)
now plug in the values in the slope intercept for
![y=mx+b](https://img.qammunity.org/2020/formulas/mathematics/high-school/8nudzfk4b5l0arb9iixag2w8am6zn99zlr.png)
![y=5x-3](https://img.qammunity.org/2020/formulas/mathematics/high-school/r2jimize1vyhalq2dgtwluovqwly3o8jxi.png)