Question

In slope intercept form, what is the equation of the line passing through the points (3,17) and (7, 25)

A. y=-2x+23
B. y=2x+11
C. y=-3x+26
D. y=2x-11

Answer 1

B

Explanation:

To write the equation of the line, use the slope formula to find the slope. Then substitute the slope and a point into the point slope form. Simplify using the distributive property to write in slope intercept form.

`m = (y_2-y_1)/(x_2-x_1) = (25 - 17)/(7-3) = (8)/(4) = 2`

Using the point slope form of a line equation, substitute m = 2 and the point (3,17).

`y - y_1 = m(x-x_1)\\y -17 = 2(x - 3)\\y - 17 = 2x - 6 \\ y = 2x - 6 + 17 \\ y = 2x + 11`