Write an equation of the line that passes through the point (3,40 and has a slope of -4

Mathematics · High School · Tue Nov 03 2020

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Given:

Line passes through the point

(3, 40)

x = 3

y = 40

Slope of the line = -4

Determine the equation of the line.

Solution:

We can write the line in slope intercept form:

y = mx + b

In order to do so, we must equate the values to the equation of the slope of a line which is:

(y - y1) = m(x - x1)

y -40 = -4(x - 3)

y - 40 = -4x + 12

y = -4x + 12 +40

y = -4x + 52

The equation of the line  is y = -4x + 52