Question

x + 2y = 6
-2
Find the y-intercept of the line
slope = 0
y - intercept =1
slope is negative
y-intercept = 3

Answer 1

To find the y-intercept of the line given by the equation \( x + 2y = 6 \), we first need to rewrite it in slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Let's isolate \( y \):

1. Start with the original equation:
\[
x + 2y = 6
\]

2. Subtract \( x \) from both sides:
\[
2y = -x + 6
\]

3. Divide each term by 2:
\[
y = -\frac{1}{2}x + 3
\]

From this equation, we can see that the slope \( m \) is \( -\frac{1}{2} \) (which is negative), and the y-intercept \( b \) is \( 3 \).

So, the correct answer is:
- The slope is negative.
- The y-intercept is \( 3 \).