Answer:
y = -5x -10
Step-by-step explanation:
This is the slope-intercept form:
[tex]y-y_{1} = m(x -x_{1})[/tex]
First, we look for the slope. The slope is found by using the equation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]
[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]
m = -5.
Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:
y - (-25) = -5(x - 3)
y + 25 = -5(x - 3)
y + 25 = -5x + 15
y = -5x + 15 -25
y = -5x -10
