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Chapter 4: Q. 701 (page 576)

Find the equation of each line. Write the equation in slope鈥搃ntercept form.

perpendicular to the line y=54x+2, containing the point (-10,3)

Short Answer

Expert verified

The Equation of perpendicular line isy=-45x-5.

Step by step solution

01

Step 1. Given information

The given Equation is y=54x+2

Point(-10,3).

02

Step 2. Find the slope of the perpendicular line

The slope of the given line is 54.

The slope of perpendicular line is -45.

03

Step 3. Find the y-Intercept

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

we get,

y-y1=m(x-x1)y-3=-45(x-(-10))y-3=-45(x+10)

04

Step 4. Equation in slope-intercept form

y-3=-45(x+10)y-3=-45x-8y=-45x-8+3y=-45x-5

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Most popular questions from this chapter

In the following exercises, plot each point in a rectangular coordinate system.

鈸� (鈭�2,0) 鈸� (鈭�3,0)鈸� (0,0) 鈸� (0,4)鈸� (0,2)

Complete the table to find three solutions to this equation:

Find an equation of a line with slope-1and y-intercept(0,-3).

In the following exercises, which ordered pair are solutions to the given equation :

y=2x-5

(a)(0,-5)(b)(2,1)(c)12,-4

Find the intercepts for3x-2y=12
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