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Chapter 4: Q. 414 (page 539)

Find the equation of a line with given slope and containing the given point. Write the equation in slope鈥搃ntercept form.

m=-34andpoint(8,-5)

Short Answer

Expert verified

Equation of the line is y=-34x-2.

Step by step solution

01

Step 1. Given information 

We have been given:

m=-34andpoint(8,-5)

We have to write the equation in slope鈥搃ntercept form.

02

Step 2. Use the equation of the point-slope form of the line

The point-slope formula is y-y1=m(x-x1).

So,

y-(-5)=-34(x-8)y+5=-34(x-4)

03

Step 3. Write in slope-intercept form y=mx+b.

y+5=-34(x-4)4(y+5)=-3(x-4)4y+20=-3x+124y=-3x-8y=-34x-2

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Most popular questions from this chapter

In the following exercises, find three solutions to each linear equation.

y=鈭�4x+5

In the following exercises, complete the table to find the solutions to each linear equation :

y=3x-1

xy(x,y)
0

2

-1

Name the ordered pair of each point shown in the rectangular coordinate system.

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

鈸� (鈭�1,1)鈸� (鈭�2,鈭�1)鈸� (2,1)鈸� (1,鈭�4)鈸�(3,72)

Find an equation of a line with slopem=23and containing the point(9,2).
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