Questions: Question 4 of 18
For the equation given below, complete parts a through c.
-3 x+y=0
a. Put the equation in slope-intercept form by solving for y.
y=
(Simplify your answer.)
b. Identify the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is .
(Type an integer or a simplified fraction.)
B. The slope is undefined.
Transcript text: Question 4 of 18
For the equation given below, complete parts a through c.
\[
-3 x+y=0
\]
a. Put the equation in slope-intercept form by solving for $y$.
\[
\mathrm{y}=\square
\]
(Simplify your answer.)
b. Identify the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The slope is $\square$.
(Type an integer or a simplified fraction.)
B. The slope is undefined.
Solution
Solution Steps
Step 1: Solve for \( y \) to put the equation in slope-intercept form
Start with the given equation:
\[
-3x + y = 0
\]
Add \( 3x \) to both sides to isolate \( y \):
\[
y = 3x
\]
Step 2: Identify the slope
The slope-intercept form of a line is \( y = mx + b \), where \( m \) is the slope. From the equation \( y = 3x \), the slope \( m \) is:
\[
m = 3
\]
Step 3: Select the correct choice for the slope
The slope is \( 3 \), which is an integer. Therefore, the correct choice is:
A. The slope is \( 3 \).