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Chapter 4: Q. 492 (page 540)

In the following exercises, find the equation of each line. Write the equation in slope鈥搃ntercept form.

Containing the points 4,3and 8,1

Short Answer

Expert verified

The equation of the line is y=-12x+5.

Step by step solution

01

Step 1. Given Information 

We are given the points 4,3 and 8,1 and we need to find the slope-intercept form of the line containing the points.

02

Step 2. Finding the slope 

The slope of the line is given by m=y2-y1x2-x1.

Here x1,y1=4,3,x2,y2=8,1.

Required slope

=1-38-4=-24=-12

03

Step 3. Finding the slope-intercept form of the line 

Using the point 4,3and slope -12we find the slope-intercept form of the line:

y-y1=mx-x1鈬�y-3=-12x-4鈬�y=-12x+2+3鈬�y=-12x+5

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Most popular questions from this chapter

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)

Which of the following ordered pairs are solutions to the equationy=-2x+6?

(a)(0,6)(b)(1,4)(c)(-2,-2)

Which of the following ordered pairs are solutions to the equationy=4x-3?

(a)(0,3)(b)(1,1)(c)(-1,-1)

In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system :

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

y=2x-4

xy(x,y)
0

2

-1
See all solutions

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