Question

graph the equation y=1/4x-3.
first idnetify the y-intercept
y-intercept__

Answer 1

To identify the y-intercept of the equation \( y = \frac{1}{4}x - 3 \), we can set \( x = 0 \) and solve for \( y \).

Substituting \( x = 0 \) into the equation:

\[
y = \frac{1}{4}(0) - 3
\]

\[
y = -3
\]

So, the y-intercept is \( (0, -3) \).

**Y-intercept:** \( -3 \)

Now, to graph the equation \( y = \frac{1}{4}x - 3 \):

1. Start by plotting the y-intercept at the point \( (0, -3) \).
2. The slope of the line is \( \frac{1}{4} \), which means for every 4 units you move to the right (increasing \( x \)), you move up 1 unit (increasing \( y \)).

From the y-intercept:
- Move 4 units right to \( x = 4 \) and then 1 unit up to \( y = -2 \) to get the point \( (4, -2) \).
- You could also move left from the y-intercept: 4 units left to \( x = -4 \) and then down 1 unit to find \( ( -4, -4) \).

Plot these points and draw a straight line through them.

The line should extend in both directions, with a positive slope indicating it goes upward from left to right. That completes the graph of the equation \( y = \frac{1}{4}x - 3 \).