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Chapter 3: Q7. (page 201)

State whether each sentence is true or false. If false, replace the underlined word or number to make a true sentence.

The slope of the liney=5 is 5.

Short Answer

Expert verified

False. The slope of the liney=5 is 0.

Step by step solution

01

Step 1. State the equation of a straight line.

The standard form of a straight line is given by, y=mx+c, where, m is the slope of the line and c is the y-intercept. If the value of m is zero. Then, the line is parallel to the x-axis.

02

Step 2. Find the slope and y-intercept.

Compare the given equation with the standard form of the equation of a straight line. The values are,

m=0and c=5.

It means the line is parallel to the x-axis crossing y-axis at 5.

03

Step 3. Conclusion.

It is false because a slope of 5 would be very steep, andy=5is a horizontal line and y is the dependent variable, it鈥檚 the vertical position of the point when an equation is graphed and m is the slope, it describes the steepness of the line. So, the slope of the line y=5is 0.

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