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What is the y intercept of a graph containing the two points (3,1) and (7,-2)?

1 Answer

5 votes

Answer:

3.25

Explanation:

The slope of the line is ∆y/∆x = (-2-1)/(7-3) = -3/4.

The point-slope form of the line with slope m through (h, k) is ...

y -k = m(x -h) . . . . . . . . . . we have m=-3/4, (h, k) = (3, 1)

y -1 = -3/4(x -3)

The y-intercept is the point on the line where x=0. For x=0, the value of y is ...

y = -3/4(-3) +1 = 9/4 +4/4

y = 13/4 = 3 1/4

The y-intercept is 3 1/4.

What is the y intercept of a graph containing the two points (3,1) and (7,-2)?-example-1
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