Question

Find a point-slope form for the line that satisfies the stated conditions.

Slope 7, passing through (-2,1)
The equation of the line in point-slope form is.
(Simplify your answer. Type your answer in point-slope form.)

Answer 1

The point-slope form looks like this:

y - y1 = m (x - x1) where (x1,y1) is a point on the line and m is the slope

Therefore for the first question:

m = 7

(x1,y1) = (-4,6)

Ans: y - 6 = 7 (x + 4) [Note: x - (-4) = x + 4]

For the second question:

The slope-intercept form looks like this:

y = mx + b

Since you have the point-slope form, all you have to do is solve for the slope-intercept form:

y - 6 = 7 (x + 4) [First, Isolate the left side so you only have y left]

y = 7(x+ 4) + 6 [Then solve for the right side until you have mx + b]

y = 7x + 28 + 6

y = 7x + 34

Ans: y = 7x + 34