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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

User Bechir
by
4.9k points

1 Answer

0 votes

Answer:

D. 7

Explanation:

To solve this problem, we need to know a certain equation: the equation of a line in the slope-intercept form:

y = mx + b; where m = slope and b = y-intercept.

First, substitute the known values into the equation. I will use the coordinate (3, 19) for x and y values.

y = 19

m = 4

x = 3

b = ?

19 = (4)(3) + b

Then, all we have to do is solve for b.

19 = (4)(3) + b

19 = 12 + b

19 - 12 = 12 + b - 12

7 = b

So, the y-intercept of the line is 7.

Hope this helps!

User Kevin McCarpenter
by
5.2k points