Step 1:
Write the given data
[tex]\begin{gathered} \text{Given point = ( 3 , -8 )} \\ \text{Slope = 3} \\ x_1\text{ = 3} \\ y_1\text{ = -8} \\ m\text{ = 3} \end{gathered}[/tex]Step 2:
[tex]\begin{gathered} \text{Use the formula below to write the equtions in slope intercept form} \\ m\text{ = }\frac{y-y_1}{x-x_1} \\ 3\text{ = }\frac{y\text{ - ( -8)}}{x\text{ - 3}} \\ 3\text{ = }\frac{y\text{ + 8}}{x\text{ - 3}} \\ y\text{ + 8 = 3x - 9} \\ y\text{ = 3x - 9 - 8} \\ y\text{ = 3x - 17} \end{gathered}[/tex]Final answer
y = 3x - 17
