Chapter 4: Q. 701 (page 576)

Find the equation of each line. Write the equation in slope–intercept form.
perpendicular to the line $y = \frac{5}{4} x + 2$ , containing the point $(- 10, 3)$

Short Answer

Expert verified

The Equation of perpendicular line is $y = \frac{- 4}{5} x - 5$ .

Step by step solution

Step 1. Given information

The given Equation is $y = \frac{5}{4} x + 2$

Point $(- 10, 3)$ .

Step 2. Find the slope of the perpendicular line

The slope of the given line is $\frac{5}{4}$ .

The slope of perpendicular line is $\frac{- 4}{5}$ .

Step 3. Find the y-Intercept

The line passes through the point $(- 10, 3)$

we get,

$y - y_{1} = m (x - x_{1}) y - 3 = \frac{- 4}{5} (x - (- 10)) y - 3 = \frac{- 4}{5} (x + 10)$

Step 4. Equation in slope-intercept form

$y - 3 = \frac{- 4}{5} (x + 10) y - 3 = \frac{- 4}{5} x - 8 y = \frac{- 4}{5} x - 8 + 3 y = \frac{- 4}{5} x - 5$

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Find the equation of each line. Write the equation in slope–intercept form.
perpendicular to the line $y = \frac{5}{4} x + 2$ , containing the point $(- 10, 3)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the slope of the perpendicular line

Step 3. Find the y-Intercept

Step 4. Equation in slope-intercept form

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Find the equation of each line. Write the equation in slope–intercept form.perpendicular to the line y=54x+2, containing the point (-10,3)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the slope of the perpendicular line

Step 3. Find the y-Intercept

Step 4. Equation in slope-intercept form

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Logic and Functions

Mechanics Maths

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the equation of each line. Write the equation in slope–intercept form.
perpendicular to the line $y = \frac{5}{4} x + 2$ , containing the point $(- 10, 3)$