Question

write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.

((-3,4)); (y = \frac{1}{3}x - 2)

write an equation for the perpendicular line in slope-intercept form.

(simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Identify the given line's slope

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Determine the perpendicular slope

Using the Perpendicular Lines knowledge point

$$
LATEXBLOCK1
$$

Write the equation in point-slope form

Using the Point-Slope Form knowledge point

$$
LATEXBLOCK2
$$

Convert to slope-intercept form

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK3
$$

Answer:

Write an equation for the perpendicular line in slope-intercept form.

<blank>\(y = -3x - 5\)</blank>