Graph the line using a point and a slope. Write the equation of each line. f a line that passes through the point (–1, –4) and whose slope is –2.

Mathematics · Middle School · Thu Feb 04 2021

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Given the points:

(-1, -4)

x1 = -1

y1 = -4

m = -2

Write the equation.

We cannot represent the graph, therefore we will only write 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:

Substitute the given values of x1, m and y1 to the formula for the point-slope form.

y - (-4) = -2 ( x - (-1))

y + 4 = -2 ( x + 1 )

Final answer:

y + 4 = -2 ( x + 1 )