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Chapter 4: Q1B. (page 214)

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: -8

Short Answer

Expert verified

The equation in slope-intercept form is y=鈭�3x鈭�8and 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 m and -8for bin the equation y=mx+b.

The equation of the straight line is:

y=mx+by=鈭�3x鈭�8

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept 0,鈭�8. The slope is riserun=鈭�31. From 0,鈭�8, move down 3 units and right 1 unit. Plot the point. Draw the line through the two points.

Therefore, the equation of the straight line is y=鈭�3x鈭�8and the graph of the equation is drawn above.

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Most popular questions from this chapter

Write the given equation in standard form.

y+4=12(x鈭�3)

Write an equation in point-slope form for the line that passes through each point with the given slope.

1,4,m=6

Write each equation in slope-intercept form.

y鈭�3=4x+3

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

Years Since 2000

0

1

2

3

4

Number of children

4269

4279

4939

5209

6936

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.

Graph each function. State the domain and range.

f(x)={x鈭�2ifx<13xifx鈮�1}
See all solutions

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