The slope of the line that contains the points (1, -1) and (2, 3) is 4. What is the y-intercept?

A. 5
B. 4
C. -4
D. -5

1 answer

To find the y-intercept, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.

Given that the slope is 4, we can substitute this value along with one of the points into the equation to solve for the y-intercept.

Using the point (1, -1):
-1 = 4(1) + b
-1 = 4 + b
b = -5

Therefore, the y-intercept is -5.

D. -5