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Chapter 4: Q8. (page 217)

Graph each equation.

6x鈭�4y=16

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 is they-intercept.

02

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

Rewrite the equation 6x鈭�4y=16in slope-intercept form.

The equation of the straight line is:

localid="1647498079774" 6x鈭�4y=166x鈭�4y鈭�6x=16鈭�6xSubtract6xfrombothsides鈭�4y鈭�4=鈭�6x+16鈭�4Dividebothsidesby鈭�4y=32x鈭�4

The slope is m=32 and the y-intercept is (0,鈭�4).

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept (0,鈭�4). The slope is riserun=32. From (0,鈭�4), move up 3 units and right 2 units. Plot the point. Draw the line through the two points.

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