Question

Points (-3,6 ) (-2,9 ) the equation in point slope form step by step

Answer 1

Answer: y - 6 = 3(x + 3)

Work Shown:

Let's start things off by finding the slope.

`(x_1,y_1) = (-3,6) \text{ and } (x_2,y_2) = (-2,9)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (9 - 6)/(-2 - (-3))\\\\m = (9 - 6)/(-2 + 3)\\\\m = (3)/(1)\\\\m = 3\\\\`

The slope is 3.

Now use point-slope form to determine the equation.

`\text{y}-\text{y}_1 = \text{m}(\text{x} - \text{x}_1)\\\\\text{y}-6 = 3(\text{x} - (-3))\\\\\boldsymbol{\textbf{y}-6 = 3(\text{x} + 3)}`