Question

Use the y- and x- intercepts to write the equation of the line. y-intercept (0, -6), x-intercept (-2, 0)

Answer 1

Hi there! :)

We are given 2 points. It means we can use the following formula to find the slope:

m=$\frac{y2-y1}{x2-x1}$

m=$\frac{0-(-6)}{-2-0\\} \\\frac{0+6}{-2}\\\frac{6}{-2} \\-3$

So the slope is -3

First, let's write the equation of the line in point-slope form.

y-y1=m(x-x1)

y-(-6)=-3(x-0)

y+6=-3(x+0)

y+6=-3x+0

y=-3x+0-6

y=-3x-6

Hope this helps!

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