Chapter 4: Q4C. (page 216)

Which of the following is an equation in slope-intercept form for the line shown?
F $y = \frac{1}{4} x - 1$
G $y = \frac{1}{4} x + 4$
H $y = 4 x - 1$
J $y = 4 x + 4$

Short Answer

Expert verified

Theoption (F) is correct. The equation of the straight line is $y = \frac{x}{4} - 1$ .

Step by step solution

Step 1. State the concept of the slope-intercept 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 the equation in the intercept form.

From the graph, the $x$ -intercept is 4 while the $y$ -intercept is $- 1$ .

Write the equation in the intercept form,

$\frac{x}{4} + \frac{y}{(- 1)} = 1$

Step 3. Write the equation of a line in slope-intercept form.

Convert this equation in slope and intercept form by separating them $y$ from the equation in the intercept form.

$\frac{x}{4} - y = 1 y = \frac{x}{4} - 1$

Therefore, option (F) is correct. The equation of the straight line is $y = \frac{x}{4} - 1$ .

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Which of the following is an equation in slope-intercept form for the line shown?
F $y = \frac{1}{4} x - 1$
G $y = \frac{1}{4} x + 4$
H $y = 4 x - 1$
J $y = 4 x + 4$

Short Answer

Step by step solution

Step 1. State the concept of the slope-intercept form of an equation.

Step 2. Write the equation in the intercept form.

Step 3. Write the equation of a line in slope-intercept form.

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Which of the following is an equation in slope-intercept form for the line shown?Fy=14x−1Gy=14x+4Hy=4x−1Jy=4x+4

Short Answer

Step by step solution

Step 1. State the concept of the slope-intercept form of an equation.

Step 2. Write the equation in the intercept form.

Step 3. Write the equation of a line in slope-intercept form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Geometry

Calculus

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Which of the following is an equation in slope-intercept form for the line shown?
F $y = \frac{1}{4} x - 1$
G $y = \frac{1}{4} x + 4$
H $y = 4 x - 1$
J $y = 4 x + 4$