Chapter 4: Q3. (page 217)

Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope:, $y$ -intercept: $- 1$

Short Answer

Expert verified

The equation in slope-intercept form is $y = \frac{3}{4} x - 1$ and the graph of the equation is:

Step by step solution

Step 1. State the concept of standard form of an equation.

The slope-intercept form of a linear equation is $y = m x + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.

Step 2. Write equation of a line in slope-intercept form.

To find the equation of a line in slope-intercept form substitute $\frac{3}{4}$ for localid="1647424258169" $m$ and localid="1647424252045" $- 1$ for localid="1647424255110" $b$ in the equation localid="1647424248683" $y = m x + b$ .

The equation of the straight line is:

$\begin{array}{l} y = m x + b \\ y = \frac{3}{4} x - 1 \end{array}$

Step 3. Graph the equation.

Plot this equation on the Cartesian plane.

Therefore, the equation of the straight line is $y = \frac{3}{4} x - 1$ and the graph of the equation is drawn above.

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Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope:, $y$ -intercept: $- 1$

Short Answer

Step by step solution

Step 1. State the concept of standard form of an equation.

Step 2. Write equation of a line in slope-intercept form.

Step 3. Graph the equation.

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Write an equation of a line in slope-intercept form with the given slope and y-intercept. Then graph the equation.Slope:, y-intercept: -1

Short Answer

Step by step solution

Step 1. State the concept of standard form of an equation.

Step 2. Write equation of a line in slope-intercept form.

Step 3. Graph the equation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Applied Mathematics

Geometry

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

Write an equation of a line in slope-intercept form with the given slope and $y$ -intercept. Then graph the equation.
Slope:, $y$ -intercept: $- 1$