Alissa G.

asked • 12/10/15

Graphing in algebra 1

Im supposed to find the x- and y-intercepts of the line that passes through the given points.
 
(4,-2)  (5,-4)

1 Expert Answer

By:

Mark M. answered • 12/10/15

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Mathematics Teacher - NCLB Highly Qualified

Alissa G.

How do you do it with out graph paper
 
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12/10/15

Mark M.

I do not know how to graph without graph paper. Do you want an explanation using Algebra?
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12/10/15

Alissa G.

yes please
 
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12/12/15

Mark M.

Use the two-point form: (y - y1) / (x - 1) = (y1 - y2) / x1 - x2)
 
(y - (-2)) / (x - 4) = (-2 -(-4)) / (4 - 5)      simplify
(y + 2) / (x - 4) = (-2 + 4) / (4 - 5)          combine
(y + 2) / (x - 4) = 2 / -1                          product of means/extremes
-1(y + 2) = 2(x - 4)                                distribute
-y - 2 = 2x - 8                                       add 2 to both sides
-y = 2x - 6                                            multiply both sides by -1
y = -2x + 6
 
x-intercept at y = 0, or (3, 0)
y-intercept at x = 0, or (0, 6)
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12/13/15

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