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Graph each equation.

6x4y=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 6x4y=16in slope-intercept form.

The equation of the straight line is:

localid="1647498079774" 6x4y=166x4y6x=166xSubtract6xfrombothsides4y4=6x+164Dividebothsidesby4y=32x4

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

03

Step 3. Graph the equation.

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

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