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Chapter 4: Q2B. (page 215)

Graph each equation.

鈭�2x+5y=10

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 m is the slope and b is the y-intercept.

02

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

Rewrite the equation 鈭�2x+5y=10in slope-intercept form.

The equation of the straight line is:

role="math" localid="1647507985167" 鈭�2x+5y=10鈭�2x+5y+2x=10+2xAdd2xbothsides5y5=10+2x5Dividebothsidesby5y=25x+2

The slope ism=25and the 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=25. From 0,2, move up 2 units and right 5 units. Plot the point. Draw the line through the two points.

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Most popular questions from this chapter

Write an equation of the line that passes through the point0,0 and has a slope-4.

A.y=x鈭�4

B.y=x+4

C.y=鈭�4x

D.y=4鈭�x

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

Slope: 3, y-intercept: 5

Write an equation in point-slope form for the line that passes through each point with the given slope.

鈭�2,鈭�1,m=鈭�3

Write an equation of the line that passes through the given point and has the given slope.

5,鈭�2, slope鈭�13

Write the given equation in standard form.

y+4=12(x鈭�3)
See all solutions

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