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Chapter 4: Q 4.67 (page 484)

Use the slope formula to find the slope of the line through the points:-3,4and2,-1.

Short Answer

Expert verified

The slope of a line is -1.

Step by step solution

01

Step 1. Given Information. 

Use the slope formula to find the slope of the line through the points:-3,4;2,-1.

02

Step 2. Explanation about the concept of slope of a line. 

We'll call -3,4point #1 and 2,-1point #2.

x1,y1=-3,4;x2,y2=2,-1

Use the slope formula :

m=y2-y1x2-x1.

03

Step 3.  Calculation of a slope line. 

On Substituting the values, we get

yof the second point minus yof the first point,

m=-1-4x2-x1

xof the second point minus xof the first point,

m=-1-42--3

Simplify the numerator and the denominator,

m=-55

Simplify,

m=-1.

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Most popular questions from this chapter

In the following exercises, which order pair are solution to the given equation :

3x-2y=12

(a)(4,0)(b)(2,-3)(c)(1,6)

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

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

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

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

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