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

Slope:2, y-intercept:-9

Short Answer

Expert verified

The equation of a line in slope-intercept form with the given slope and y-intercept is.

y=2x9

The graph of the equationy=2x9is:

Step by step solution

01

Step 1. Write the slope-intercept form of a line.

The equation of line in slope-intercept form is:

y=mx+b

Wherem is the slope of the line andb is the y-intercept of the line.

02

Step 2. Write the equation of a line in slope-intercept form having slope −2 and y-intercept −9.

The slope of the line is 2. Therefore, the value ofmis 2.

The y-intercept of the line is 9. Therefore, the value ofbis 9.

Now substitute2formand9forbin the equationy=mx+bto find the slope-intercept form of the line.

y=mx+b=2x+9=2x9

Therefore, the equation of a line in slope-intercept form with the given slope and y-intercept is y=2x9.

03

Step 3. Draw the graph of the equation y=−2x−9.

The graph of the equation y=2x9is:

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