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Chapter 4: Q10. (page 271)

Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.

Slope: 3, y-intercept: 5

Short Answer

Expert verified

The equation in slope-intercept form is and the graph of the equation is:

Step by step solution

01

Step 1. State the concept of the standard form of an equation.

The slope-intercept form of a linear equation is y=mx+b, where m is the slope and b is the y-intercept.

02

Step 2. Write the equation of a line in slope-intercept form. 

To find the equation of a line in slope-intercept form substitute 3 for mand 5 for bin the equation y=mx+b.

The equation of the straight line is:

y=mx+by=3x+5

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept 0,5. The slope is riserun=31. From 0,5, move up 5 units and right 1 unit. Plot the point. Draw the line through the two points.

Therefore, the equation of the straight line is y=3x+5and the graph of the equation is drawn above.

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Most popular questions from this chapter

Write an equation of a line in slope-intercept form with the given slope andy-intercept. Then graph the equation.

Slope: 鈭�58, y-intercept:鈭�2

Write the given equation of line in slope-intercept form.

y+3=5(x+1)

The table shows the number of children from Russia adopted by U.S. citizens.

Years Since 2000

0

1

2

3

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Number of children

4269

4279

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a. Write the slope-intercept form of the equation for the regression line.

b. Predict the number of children from Russia who will be adopted in 2025.

Write an equation of the line that passes through the given points.

鈭�4,3,1,13

Graph each function.

fx=2x鈭�1ifx<2x鈭�3ifx鈮�2
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