Question

Write an equation of the line passing through the given points.

(3,-25) and (-3,5)

y=

Answer 1

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

Answer 2

y = -5x -10

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 = (y_(2)-y_(1) )/(x_(2) -x_(1))`

`m = (5 - (-25))/(-3 - 3) = (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