Find the x and y intercept of (-3,2),(-4,10)

Question

Fnd the line that passes through the given point

Answer 1

Greetings! Lets solve this !

So we have two points where we need to find the line that passes through each point.

We must find the slope first so

m = (10-2) / (-4-(-3)) = 8 / -1 = -8

Then we yield the point slope formula y - y₁ = m(x - x₁) where (-3, 2) is (x₁, y₁). Then,

y - y₁ = m(x - x₁)

y - 2 = -8(x - (-3))

y - 2 = -8(x+3)

y - 2 = -8x - 24

y = -8x - 22, where the y -intercept is (0, -22) and the x-intercept is (-11/4, 0)

I hope this helped!