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3 years ago

Write the equation of the line perpendicular to y = x+ 5 that passes through the point ( -7,3).

Mathematics

1 answer:

Burka [1]3 years ago

3 0

Answer:

y = - x - 4

Step-by-step explanation:

A line perpendicular to the line: y = x + 5

must have a slope that is the "opposite of the reciprocal" of the slope of the given line. Then the slope of the perpendicular line must be "-1".

Now that we know the slope of the perpendicular line, we use the point (-7, 3) to complete the equation of the line:

y = -1 x + b

3 = -1 (-7) + b

then we solve for "b":

3 = 7 + b

3 - 7 = b

b = -4

Now we can write the total equation of the perpendicular line in slope-intercept form as:

y = - x - 4

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Blank 1: y

Blank 2: x

Blank 1: x

Blank 2: y

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Blank 2: x

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