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Find the slope and y-intercept of the line that is perpendicular to

y= —1/3x + 5 and passes through the point (—3, —7)

User Meire
by
8.1k points

1 Answer

2 votes

Answer:

The line is
y = 3x + 2

Explanation:

For one line to be perpendicular to the other, the lines must have negative reciprocal slopes. The slope in the given function is -1/3, so the slope of the other line is 3

We're given an ordered pair, so we can use the equation
y = mx + b to solve for the y intercept


-7 = 3(-3) + b\\-7 = -9 + b\\b = 2

The line is
y = 3x + 2

User Mike Minutillo
by
7.2k points

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