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Chapter 3: Q. 111 (page 276)

Graph the line of equation 3x+y=5using its slope and y-intercept.

Short Answer

Expert verified

The slope of equation 3x+y=5is -3and the y-intercept is (0,5)and the graph is plotted below:

Step by step solution

01

Step 1. Given information

The equation of line is3x+y=5.

02

Step 2. Identify the slope of equation 

The slope intercept form of an equation is y=mx+bwhere mis the slope and (0,b)is the y-intercept.

The given equation 3x+y=5is converted into slope intercept form as:

3x+y=5y=-3x+5;(y=mx+b)

Hence the slope of equation is-3.

03

Step 3. Identify the y-intercept

The y-intercept of equationy=-3x+5is(0,5).

04

Step 4. Graph the line of equation 3x+y=5.

The graph of equation is plotted using slope -3and y-intercept (0,5)as shown below:

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Most popular questions from this chapter

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

Slope-4and y-intercept0,0.

For the function fx=3x2-2x+1, evaluate the function.

  1. f3
  2. f-1
  3. ft

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

y=-1 andy=2

In the following exercise, determine the most convenient method to graph each line

y=-3x+4

Find the intercept for the equationx-y=5.
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