Question

The slope of the line that contains the points (4, 10) and (5, 13) is 3. Find the y-intercept.

A. -26

B. -2

C. 8

D. 34


The slope of the line that contains the points (-2, -1) and (3, 19) is 4. Find the y-intercept.
A. -7
B. -2
C. 2
D. 7

Answer 1

B

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (4, 10 ) , then

10 = 12 + c ⇒ c = 10 - 12 = - 2 → B

D

Given m = 4 then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 19 ), then

19 = 12 + c ⇒ c = 19 - 12 = 7 → D