Chapter 2: Q9. (page 66)

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

Short Answer

Expert verified

The x-intercept is $- \frac{5}{3}$ and y-intercept is -5. The graph of the equation is:

Step by step solution

– Definition of intercepts.

The x-intercept is the point where the graph intersect the x-axis. It is the value of x when y=0.

The y-intercept is the point where the graph intersect the y-axis. It is the value of y when $x = 0$ .

– Find the x-intercept.

The given equation is:

$y = - 3 x - 5$

Substitute y=0 in the given equation.

$\begin{matrix} 0 = - 3 x - 5 \\ 3 x = - 5 \\ \frac{3 x}{3} = - \frac{5}{3} \\ x = - \frac{5}{3} \end{matrix}$

The x-intercept is $- \frac{5}{3}$ . The graph crosses the x-axis at $(- \frac{5}{3}, 0)$ .

– Find the y-intercept.

Substitute x=0 in the given equation.

$\begin{matrix} y = - 3 (0) - 5 \\ y = 0 - 5 \\ y = - 5 \end{matrix}$

The y-intercept is -5. The graph crosses the y-axis at $(0, - 5)$ .

– Draw the graph.

Plot the points $(- \frac{5}{3}, 0)$ and $(0, - 5)$ on a coordinate plane and connect them by a straight line as shown below:

Thus, the x-intercept is $- \frac{5}{3}$ and y-intercept is -5.

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

Short Answer

Step by step solution

– Definition of intercepts.

– Find the x-intercept.

– Find the y-intercept.

– Draw the graph.

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Find the x-intercept and the y-intercept of the graph of each equation. Then graph the equation.y=-3x-5

Short Answer

Step by step solution

– Definition of intercepts.

– Find the x-intercept.

– Find the y-intercept.

– Draw the graph.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Probability and Statistics

Pure Maths

Geometry

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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