Question

Write an equation in point slope form and slope intercept form Passes through (3,-8), slope =3

Answer 1

Step 1:

Write the given data

`\begin{gathered} \text{Given point = ( 3 , -8 )} \\ \text{Slope = 3} \\ x_1\text{ = 3} \\ y_1\text{ = -8} \\ m\text{ = 3} \end{gathered}`

Step 2:

`\begin{gathered} \text{Use the formula below to write the equtions in slope intercept form} \\ m\text{ = }(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}`

Final answer

y = 3x - 17