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Question 810236: What would be the intercepts of the line that contains pair of points:
" (-1,-4) and (6,10) " ?
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! points on line:
(-1, -4)
(6, 10)
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use two-point form:
y - y1 = ( (y2 - y1)/(x2 - x1) )(x - x1)
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y + 4 = ( (10 + 4)/(6 + 1) )(x + 1)
y + 4 = ( (14)/(7) )(x + 1)
y + 4 = 2(x + 1)
y + 4 = 2x + 2
y = 2x - 2
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intercepts:
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a is the x-intercept:
y = 2x - 2
0 = 2x - 2
2 = 2x
x = 1
a = (1, 0)
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b is the y-intercept:
y = 2x - 2
y = 2(0) - 2
y = -2
b = (0, -2)
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