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Chapter 1: Q. 93 (page 42)

(a) Find the intercepts of the graph of the equation

(b) Graph the equation

-4x+5y=40

Short Answer

Expert verified

(a)

x-intercept is(-10,0)

y-intercept is(0,8)

(b)

The graph is

Step by step solution

01

Step 1. Given information

The equation of a line is

-4x+5y=40

02

Step 2. Finding the x-intercept

The equation of the line is

-4x+5y=40

Plug role="math" localid="1646650083656" y=0and find x-value

role="math" localid="1646650121865" -4x+5×0=40-4x+0=40-4x=40x=-10

So,

x-intercept is(-10,0)

03

Step 3. Finding the y-intercept

The equation of a line is

-4x+5y=40

Plug x=0and find y-value

-4×0+5y=400+5y=405y=40y=8

So,

y-intercept is(0,8)

04

Step 4. Sketching the graph

Locate points (-10,0),(0,8)on the graph and then join them to sketch the graph.

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Most popular questions from this chapter

In Problem 17-36, solve each equation algebraically. Verify your solution using a graphing utility.

x3+x2-4x-4=0

Show that the line containing the points (a, b) and (b, a), a b, is perpendicular to the line y = x. Also show that the midpoint of (a, b) and (b, a) lies on the line y = x.

To solve an equation of the form {expression in x = 0}

using a graphing utility, we graph Y1= {expression in x}

and use ________ to determine each x-intercept of the

graph.

Which form of the equation of a line do you prefer to use? Justify your position with an example that shows that your choice is better than another. Have reasons.

A student is asked to find the slope of the line joining (-3, 2) and (1, -4). He states that the slope is 32. Is he correct? If not, what went wrong?
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