Question

Write the equation of the line in slope-intercept form that passes through the point (3, -2) and has a slope of 2.

y = 2x - 8

y = 2x - 4

y = 2x + 7

y = 2x + 5

Answer 1

The equation you'll want to use here is:
\[y-y_1=m(x-x_1)\]Here, m is the slope, and x_1,y_1 are the coordinates of any point on the line. You have the slope and you have a point, so you can simply plug in, then simplify as needed.

Answer 2

ok

Answer 3

The slope-intercept form of a line is:
y = mx + b,
where
m = slope, and
b = y-intercept.

Since you are given a slope of 2, replace m with 2 to get:
y = 2x + b

To find b, replace x and y with the actual point you are given and solve for b:
y = 2x + b
-2 = 2(-3) + b
-2 = -6 + b
4 = b

Now that you know b = 4, replace b with 4 for your final answer:
y = 2x + b
y = 2x + 4