What is the y intercept of a graph containing the two points (3,1) and (7,-2)?
1 answer:
Answer:
3.25
Step-by-step 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.
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