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16 votes
16 votes
Find the equation of the line with slope m=−2 that contains the point (−7,16).

User VIKAS KATARIYA
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2.8k points

1 Answer

16 votes
16 votes

Answer:


y = -2\, x + 2.

Explanation:

If a line of slope
m goes through the point
(x_(0),\, y_(0)), the equation of this line in point-slope form would be:


y - y_(0) = m\, (x - x_(0)).

For example, the slope of the line in this question is
(-2), thus
m = -2; The line goes through the point
(-7,\, 16), thus
x_(0) = -7 whereas
y_(0) = 16.

Substitute in these values to find the equation of this line in the point-slope form:


y - 16 = (-2)\, (x - (-7)).

Simplify and rewrite to find the equation of this line in the slope-intercept form:


y - 16 = -2\, (x + 7).


y = -2\, x + 2.

User Mariocatch
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3.1k points