Question

Write an equation of a line that is perpendicular to y = 4x + 8 and passes through (−8, 4).

Answer 1

Answer: y= -1/4x  + 2

Step-by-step explanation: chose the answer and got it right on my test

Answer 2

The equation of line is y= -1/4x  + 2

What is Equation of line?

The slope of the line and a point on the line can be used to create the equation of a line. To better comprehend how the equation for a line is formed. The slope of the line, which can be stated as a numeric integer, fraction, or the tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis.

The general form is $(y- y_1)= m(x - x_1)$

given:

line that is perpendicular to y = 4x + 8 and passes through (−8, 4).

Here the slope of given line is 4.

So, the slope of perpendicular lines is

m = -1/4

Now, as the line passes through (-8, 4)

Then using

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

y- 4= -1/4(x- (-8))

y-4 = -1/4 ( x+8)

y-4 = -1/4 x - 2

y= -1/4x  + 2

Hence, the equation of line is y= -1/4x  + 2.

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