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Chapter 4: Q. 316 (page 520)

In the following exercises, graph the line of each equation using its slope and y-intercept.

3x-4y=8

Short Answer

Expert verified

The required graph of line is:

Step by step solution

01

Step 1. Given information.

The equation3x-4y=8.

02

Step 2. Find slope and y-intercept.

Solve the given equation for y :

3x-4y=84y=3x-8y=34x-2

Now, compare the obtained equation with slope-intercept form y=mx+b.

m=34;b=-2

So, slope is 34and y-intercept is -2.

03

Step 3. Graph the line using y-intercept and slope.

Plot the y-intercept 0,-2and for second point, use the slope which is given as 34that is;

rise=3,run=4

So, plot the second point at 4,1.

Then, graph the line joining these two points:

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Most popular questions from this chapter

In the following exercises, which ordered pairs are solutions to the given equations :

y=13x+1

(a)-3,0(b)9,4(c)-6,-1

In the following exercises, find the equation of a line with a given slope and y-intercept. Write the equation in slope-intercept form.

388.slope 6and y-intercept (0,-4).

Find the intercepts for2x+3y=6

In the following exercises, find three solutions to each linear equation.

x+y=8

In the following exercises, which order pair are solution to the given equation

2x+y=6

(a) (1,4)(b) (3,0)(c)(2,3)

See all solutions

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