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Chapter 3: Q 3.5. (page 281)

Find the equation of the line shown in the graph.

Short Answer

Expert verified

The equation isy=43x-5.

Step by step solution

01

Step 1. Find y-intercept from the graph 

We can see that graph crossesy-axis at (0,-5).

So they-intercept is (0,b)=(0,-5).

Another point on the line is(3,-1).

02

Step 2. Find slope by counting rise and run

Slope is:

m=riserunm=43

03

Step 3. Substitute the values into the slope-intercept form

The slope-intercept form is:

y=mx+by=43x+(-5)y=43x-5

The equation of the line isy=43x-5.

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Most popular questions from this chapter

In the following exercises, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel, perpendicular, or neither.

y=-1 andy=2

Graph the equation x-y=-4using the intercepts.

Graph the equation y=-53x+4by plotting the points.

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.

(3, 8) and (3, −4)
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