Q4. Find the x-intercept and the y-i... [FREE SOLUTION]

Chapter 2: Q4. (page 74)

Find the x-intercept and the y-intercept of the graph of $3 x + 5 y = 30$ . Then, graph the equation.

Short Answer

Expert verified

The x-intercept of the graph of the given equation is 10 and the y-intercept is 6. The graph of the given equation is given as follows:

Step by step solution

– State the concept

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

– List the given data

The given equation is $3 x + 5 y = 30$ .

– Find the intercepts

Solving for x-intercept,

$3 x + 5 y = 30$ (Given equation)

$3 x + 5 (0) = 30$ (Put $y = 0$ in the given equation)

$3 x = 30$ (Simplify)

$\frac{3 x}{3} = \frac{30}{3}$ (Divide both sides by 3)

$x = 10$ (Simplify)

So, the x-intercept is $10$ and thus the graph crosses thex-axis at the point $(10, 0)$ .

Similarly, solving for y-intercept,

$3 x + 5 y = 30$ (Given equation)

$3 (0) + 5 y = 30$ (Put $x = 0$ in the given equation)

$5 y = 30$ (Simplify)

$\frac{5 y}{5} = \frac{30}{5}$ (Divide both sides by 5)

$y = 6$ (Simplify)

So, the y-intercept is $6$ and thus the graph crosses the y-axis at the point $(0, 6)$ .

– Graph the equation

Graphing the given equation using the obtained ordered pairs,

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91影视

Find the x-intercept and the y-intercept of the graph of $3 x + 5 y = 30$ . Then, graph the equation.

Short Answer

Step by step solution

– State the concept

– List the given data

– Find the intercepts

– Graph the equation

One App. One Place for Learning.

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91影视

Find the x-intercept and the y-intercept of the graph of 3x+5y=30. Then, graph the equation.

Short Answer

Step by step solution

– State the concept

– List the given data

– Find the intercepts

– Graph the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Theoretical and Mathematical Physics

Decision Maths

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Find the x-intercept and the y-intercept of the graph of $3 x + 5 y = 30$ . Then, graph the equation.