Question
What is the slope of the line
(1/2)y = 3x+6
a
6
b
-6
c
12
(1/2)y = 3x+6
a
6
b
-6
c
12
Answers
GPT-4o mini
To find the slope of the line given by the equation \((1/2)y = 3x + 6\), we first need to rewrite it in slope-intercept form, which is \(y = mx + b\), where \(m\) is the slope.
Starting with the given equation:
\[
(1/2)y = 3x + 6
\]
We can multiply both sides by 2 to eliminate the fraction:
\[
y = 2(3x + 6)
\]
\[
y = 6x + 12
\]
Now that the equation is in slope-intercept form, we can see that the slope \(m\) is 6.
So, the slope of the line is:
**a) 6**
Starting with the given equation:
\[
(1/2)y = 3x + 6
\]
We can multiply both sides by 2 to eliminate the fraction:
\[
y = 2(3x + 6)
\]
\[
y = 6x + 12
\]
Now that the equation is in slope-intercept form, we can see that the slope \(m\) is 6.
So, the slope of the line is:
**a) 6**