Question

Write an equation of the line passing through the given points. (3,-25) and (-3,5) y=

Answer 1

Answer:

the answer to the problem is y= -5x - 10

Answer 2

Answer:

y = -5x -10

Step-by-step explanation:

This is the slope-intercept form:

$y-y_{1} = m(x -x_{1})$

First, we look for the slope. The slope is found by using the equation:

$m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}$

$m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5$

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