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Write an equation in point-slope form of the line that passes through the point (2, -8) and has a slope of 4. The equation is y- __=__(x-__).

Write an equation in point-slope form of the line that passes through the point (2, -8) and-example-1

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Answer:

The equation is
y-(-8) = 4(x-2).

Explanation:

The point-slope form of a line is represented by the formula
y-y_1 = m (x-x_1). In order to write an equation of a line in point-slope form, we would need to substitute real values for the
m,
x_1, and
y_1 in the formula.

Since
m represents the slope of the line, substitute 4 in its place. Since
x_1 and
y_1 represent the x and y values of one point the line intersects, substitute the x and y values of (2,-8) in the formula as well. Substitute 2 for
x_1 and -8 for
y_1. This results in the following equation and answer:


y-(-8) = 4(x-2)

(Usually, we would simplify the double negatives on the left side to a positive, but because you have to type the values in to answer the problem and cannot change the written negative sign already visible in the equation, that would be the answer. I believe you can just type in -8 for the first box.)

User Fatmir
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