Question

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Answer 1

Hi!

The equation of point slope form is

y = sx + b

We need to find s and b

s = slope

b = y intercept

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To find the slope, use this formula.

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

Put in the values.

$\frac{-8-(-10)}{-6-(-7)} = \frac{2}{1}simplify = 2$

The slope is 2.

y = 2x + b

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Now we need to find the y intercept. Put in a point, and solve for b.

-8 = 2 * -6 + b

-8 = -12 + b

4 = b

The y intercept is 4.

y = 2x + 4

The answer y = 2x + 4

Hope this helps! :)

-Peredhel