The slope of the line that contains the points (-2, 10) and (3, -5) is -3. What is the y-intercept?
A. -12
B. 4
C. 7
D. 28

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Answer:

The y-intercept of this line is (0, 4)

Step-by-step explanation:

Given that the slope of this line is -3, we know the general form of its equation is y = -3x + b.  Arbitrarily choosing the first point, (-2, 10), and substituting -2 for x and 10 for y, we find the y-intercept as follows:

10 = -3(-2) + b, or

10 = 6 + b, or

b = 4  (Answer C)

The y-intercept of this line is (0, 4)

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