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Chapter 2: Q58. (page 74)

Find the x-intercept and the y-intercept of the graph of each equation. Then, graph the equation.

-2x+5y=20

Short Answer

Expert verified

The x-intercept of the graph of the given equation is -10 and they-intercept is 4. The graph of the given equation is given as follows:

Step by step solution

01

– State the concept

The x-intercept is the value of x when y=0. Similarly, the y-intercept is the value of y when x=0.

02

– List the given data

The given equation is -2x+5y=20.

03

– Find the intercepts

Solving for x-intercept,

-2x+5y=20 (Given equation)

-2x+50=20 (Put y=0in the given equation)

-2x=20 (Simplify)

-2x-2=20-2 (Divide both sides by -2)

x=-10 (Simplify)

So, the x-intercept is -10 and the graph crosses the x-axis at the point -10,0.

Similarly, solving for y-intercept,

-2x+5y=20 (Given equation)

-20+5y=20 (Put x=0in the given equation)

5y=20 (Simplify)

5y5=205 (Divide both sides by 5)

y=4 (Simplify)

So, the y-intercept is 4and thus the graph crosses the y-axis at the point 0,4.

04

– Graph the equation

Graphing the given equation using the obtained ordered pairs,

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