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Chapter 3: Q.3.19 (page 247)

Graph using the intercepts:

5x-2y=10

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

Given equation is5x-2y=10

The graph of the equation is to be determined using the intercepts.

02

Step 2. Find the x-intercept

To determine the x-intercept, plugging y=0in the equation and solving for x:

5x-2y=105x-20=105x-0=105x=105x5=105x=2

So the x-intercept is2,0

03

Step 3. Find the y-intercept

To determine the y-intercept, pluggingx=0 in the equation and solving for y:

5x-2y=1050-2y=100-2y=10-2y=10-2y-2=10-2y=-5

So the y-intercept is0,-5

04

Step 4. Plotting the intercepts

Plotting the intercepts on the coordinate plane and joining them using a line:

05

Step 5. Conclusion

The graph of the equation using the intercepts is

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Most popular questions from this chapter

In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

(7, 1) and (5, 0)

In the following exercise, use the graph of the function to find its domain and range. Write the domain and range in interval notation.

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope鈥搃ntercept form.

line y = 鈭�3x + 6, point (1, 鈭�5)

Find the equation of the line shown in each graph and write the equation in slope-intercept form.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=5.
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