[Solved] MATH062N Week 6 Graph Linear Equations with Intercepts

Q1

Find the x- and y-intercepts on the given graph.

Q2

Identify the most convenient method to graph 3x−4y=24.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q3

Identify the most convenient method to graph y=4x−6.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q4

Find the x- and y-intercepts on the given graph.

Q5

Graph the equation −x−y=−1 using the intercepts.

Q6

Graph the equation y=x3−2 using the intercepts.

Move the point labeled x-intercept along the x-axis to plot the x-intercept and move the point labeled y-intercept along the y-axis to plot the y-intercept.

Note: The points will not move off their respective axes.

Q7

Find the x- and y-intercepts of y=3/5x+4.

  • Enter the x and y coordinates as whole numbers or fractions if necessary.

Q8

Find the x- and y-intercepts of y=−x−8

Q9

Find the x- and y-intercepts of y=−1/4x+8.

Q10

Find the x- and y-intercepts of y=3/4x−7.

  • Enter the xand ycoordinates as whole numbers or fractions if necessary.

Q11

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

Q12

Graph the equation −2x+2y=−2 using the intercepts.

Q13

Find the x- and y-intercepts on the given graph.

Q14

Find the x- and y-intercepts on the given graph.

Q15

Identify the most convenient method to graph y=−1/3x+1.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q17

Identify the most convenient method to graph 3x+2y=12.

Ans:

It is a vertical line; use the point where it crosses the x-axis.

It is a horizontal line; use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q18

Identify the most convenient method to graph y=4.

Ans:

It is a vertical line; use the point where it crosses the x-axis.

It is a horizontal line; use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q19

Identify the most convenient method to graph y=1/5x−4.

Ans:

It is a vertical line; use the point where it crosses the x-axis.

It is a horizontal line; use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q20

Identify the most convenient method to graph x=−7.

Ans:

It is a vertical line; use the point where it crosses the x-axis.

It is a horizontal line; use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q21

Identify the most convenient method to graph x=5/3.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q22

Identify the most convenient method to graph x−y=3.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q23

Graph the equation y=−4x+5 by plotting points with the line tool.

Q24

Graph the equation y=4x−4 by plotting points with the line tool.

Q25

Graph the equation y=4x+2 by plotting points with the line tool.

Q26

Graph the equation 3x+2y=−3 by plotting points.

Q27

Graph the equation x+y=12 by plotting points.

Q28

Graph the equation x=−13/2 by plotting points.

Q29

Graph the equation y=1/2 by plotting points.

Q30

Identify the most convenient method to graph x=5.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q31

Identify the most convenient method to graph y=−8.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q32

Identify the most convenient method to graph y=2/5x−2.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q34

Identify the most convenient method to graph y=1/3x+4.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q35

Identify the most convenient method to graph y=−4x+3.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

 

Solution

Q1

Find the x- and y-intercepts on the given graph.

Ans:

x-intercept:(1,0) y-intercept: (0,-0.5)

Q2

Identify the most convenient method to graph 3x−4y=24.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q3

Identify the most convenient method to graph y=4x−6.

Ans:

It is a vertical line, so use the point where it crosses the x-axis.

It is a horizontal line, so use the point where it crosses the y-axis.

Find the intercepts and one more point.

Find three points.

Q4

Find the x- and y-intercepts on the given graph.

Ans:

x-intercept: (-4,0) y-intercept: (0,2)

Q5

Graph the equation −x−y=−1 using the intercepts.

Ans:

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