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lutik1710 [3]
3 years ago
5

Find the equation of the line through (−2, 2) with x-intercept 1.

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

y = (-2/3)x + 2/3.

Step-by-step explanation:

Let's use the slope-intercept form of the equation of a line, y = mx + b, to find m and b.  We know two points through which the line goes:  (1, 0) and (-2, 2).

The slope of the line is m = rise / run, which here is m = 2/(-3), or m = -2/3.

Substitute 1 for x and 0 for y, as well as -2/3 for m:

0 = (-2/3)(1) + b.  Then b = 2/3, and the desired equation is

y = (-2/3)x + 2/3.

Check:  When y = 0, does x = 1?  YES

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