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Chapter 4: Q5. (page 217)

Graph each equation.

−4x+y=2

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 , where mis the slope and bis they-intercept.

02

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

Rewrite the equation−4x+y=2in slope-intercept form.

The equation of the straight line is:

localid="1647497910718" −4x+y=2−4x+y+4x=2+4xAdd4xbothsidesy=4x+2

The slope islocalid="1647426666843" m=4and the localid="1647426662825" y-intercept is (0,2).

03

Step 3. Graph the equation.

To graph the equation, plot the y-intercept(0,2). The slope is riserun=41. From, move up 4 unit and right 1 unit. Plot the point. Draw the line through the two points.

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