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Chapter 4: Q. 4.58 (page 476)

Find the slope of the line shown.

Short Answer

Expert verified

The slope of the given line is:34

Step by step solution

01

Step 1. Given information

Graph of a line:

02

Step 2. Locate two points on the line whose coordinates are integers

Mark the points(0,-1)and(4,2)

03

Step 3. Starting with the point on the left, sketch a right triangle, going from the first point to the second point.

Starting at the point(0,-1)sketch right triangle to the point(4,2)as shown below.

04

Step 4. Count the rise and the run on the legs of the triangle

From the graph,rise=3and run=4

05

Step 5. Take the ratio of rise to run to find the slope

Slope,m=riserun

⇒m=34

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Most popular questions from this chapter

Find an equation of a line with slopem=56and containing the point(6,3).

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

y=3x−9

Find the intercepts for5x-y=5

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

3x+2y=6

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

ⓐ (−1,1)ⓑ (−2,−1)ⓒ (2,1)ⓓ (1,−4)ⓔ(3,72)
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