# Write a slope-intercept equation for a line perpendicular to f(x) = −2x + 4 and passing through the point (−4, −1).

1 answer

###### Question:

Write a slope-intercept equation for a line perpendicular to f(x) = −2x + 4 and

passing through the point (−4, −1).

passing through the point (−4, −1).

## Answers

Answer:[tex]y = \frac{1}{2} x + 1[/tex]Step-by-step explanation:Slope-intercept formy= mx +c, where m is the slope and c is the y-interceptf(x)= -2x +4Let's rewrite this function into an equation, in the slope-intercept form.y= -2x +4Slope= -2The product of the slopes of perpendicular lines is -1.Let the slope of the perpendicular line be m.m(-2)= -1m= ½y= ½x +cTo find the value of c, substitute a pair of coordinates into the equation.When x= -4, y= -1,-1= ½(-4) +c-1= -2 +cc= -1 +2c= 1Thus, the equation of the line is y= ½x +1.

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