Write an equation in point-slope form of the

Ответ:

kamal81

14.02.2022

An equation in point-slope form of the line that passes through the given point and with the given slope m = 4 will be:

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

Step-by-step explanation:

Given

The point = (-4, 1)m = 4

Using the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

here:

m = slope(x₁, y₁) = point

substituting the values m = 4 and the point (-4, 1) in the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

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

Thus,

An equation in point-slope form of the line that passes through the given point and with the given slope m = 4 will be:

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

Note: It can further be simplified

$y-1=4\left(x+4\right)$

Add 1 to both sides

$y-1+1=4\left(x+4\right)+1$

y=4x+17

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