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Question 697492: How do you find the y-intercept when you are given a line with a point (2,4) and a gradient of 1/2?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! How do you find the y-intercept when you are given a line with a point (2,4) and a gradient of 1/2?
"Gradient" is the same as the slope
Plug slope (1/2) and the point (2,4) into the "point-slope" form:
y - y1 = m(x - x1)
y - 4 = (1/2)(x - 2)
y - 4 = (1/2)x - 1
y = (1/2)x - 1 + 4
y = (1/2)x + 3
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to find the y-intercept, set x to zero:
y = (1/2)x + 3
y = (1/2)0 + 3
y = 3
.
y-intercept is at (0,3)
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