The equation of line lm is 5x − y = −4. what is the equation of a line perpendicular to line lm in slope-intercept form that contains point (−3, 2)?

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 5x - y = - 4 into this form

Subtract 5x from both sides

- y = - 5x - 4 ( multiply through by - 1 )

y = 5x + 4 ← in slope- intercept form

with slope m = 5

Given a line with slope m then the slope of a line perpendicular to it is

= - = - , thus

y = - x + c ← is the partial equation

To fond c substitute (- 3, 2) into the partial equation

2 = + c ⇒ c = 2 - =

y = - x + ← in slope- intercept form

the answer is 4.8 units on e2020.

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step-by-step explanation: