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Chapter 3: Q. 410 (page 354)

Find the intercepts of the equation

2x+3y=12

Short Answer

Expert verified

The x- and y- intercept is 6and 4respectively

Step by step solution

01

Given Information

The equation of a line for which the x- and y- intercept has to be determined is

2x+3y=12

02

Concept

The X- and Y- intercept of a line is the x and y coordinates, respectively, of the points where the line intersects the x-axis and y-axis respectively.

03

Calculation

For x- intercept

Put y=0in the given equation, we get

2x=12x=6

For y- intercept

Put x=0in the given equation, we get

3y=12y=4

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Most popular questions from this chapter

Graph the equation4x+y=4using the intercepts.

Find the intercepts of the graph

.

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=x2+2

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(3,-1)B(-1,-4)a solution to the equation.

(b) Is the point A(3,-1)B(-1,-4)on the line?

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

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