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Chapter 4: Q7. (page 217)

Graph each equation.

鈭�3x+7y=21

Short Answer

Expert verified

The graph of the equation is:

Step by step solution

01

Step 1. State the concept of slope-intercept of an equation.

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

02

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

Rewrite the equation 鈭�3x+7y=21in slope-intercept form.

The equation of the straight line is:

鈭�3x+7y=21鈭�3x+7y+3x=21+3xAdd3xbothsides7y7=3x+217Dividebothsidesby7y=37x+3

The slope is m=37and the y-intercept is (0,3).

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept (0,3). The slope is riserun=37. From (0,3), move up 3 units and right 7 units. Plot the point. Draw the line through the two points.

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