Find an equation of the line that passes through the given point and has the indicated slope: (6,-1), m = undefined

Mathematics · High School · Thu Jan 21 2021

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Given the point:

( 6, -1)

x1 = 6

y1 = -1

m = ?

Determine the equation of the line.

The equation of the line can be written in point-slope form.

Point-slope form:

y - y1 = m(x - x1)

Solution:
Before we can determine the equation in point-slope form, we must first find the value of m.

Slope of the line equation:

m = y/x

m = rise over run

m = -1/6

Substitute the given values of x1, y1 and m to the formula for the equation of the line.

y - (-1) = -1/6  (x - 6)

y + 1 = -1/6 ( x - 6)

Final answer:

y + 1 = -1/6 ( x - 6)