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Chapter 4: Q1A. (page 214)

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

Slope:鈭�12, y-intercept: 3

Short Answer

Expert verified

The equation in slope-intercept form is y=鈭�12x+3and 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 鈭�12for mand 3 for bin the equation y=mx+b.

The equation of the straight line is:

y=mx+by=鈭�12x+3

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept 0,3. The slope is riserun=鈭�12. From 0,3, move down 1 unit and right 2 units. Plot the point. Draw the line through the two points.

Therefore, the equation of the straight line is y=鈭�12x+3and the graph of the equation is drawn above.

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