Question

Slope = 4, passing through (-6, 8)

1. Type the​ point-slope form of the equation of the line.
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​(Simplify your answer. Use integers or fractions for any numbers in the​ equation.)

2. Type the​ slope-intercept form of the equation of the line.

Answer 1

The point slope form is y - 8 = 4(x + 6) and the slope intercept form would be y = 4x + 32.

In order to find this, we'll start with the base form of point-slope form.

y - y1 = m(x - x1) ----> Plug in the numbers

y - 8 = 4(x - -6) ----> Simplify

y - 8 = 4(x + 6)

Now to find slope intercept form, solve for y.

y - 8 = 4(x + 6) ----> distribute the 4

y - 8 = 4x + 24 -----> add 8 to both sides

y = 4x + 32