Question

Identify the slope and y intercept. Then, graph the linear equation.

`y-6=-2x`



Begin with `b,`the y-intercept:

Type the number only. Do NOT enter a coordinate.

Move with `m,`the slope:

Answer 1

To identify the slope and y-intercept from the equation \( y - 6 = -2x \), we first rewrite it in slope-intercept form (y = mx + b).

1. **Rearranging the equation:**
\[
y = -2x + 6
\]

From this form, we can identify:

- \( m \) (the slope) is -2.
- \( b \) (the y-intercept) is 6.

So, the values are:
- \( b \): 6
- \( m \): -2

Now, for graphing:

1. Start at the y-intercept \( (0, 6) \).
2. From this point, use the slope \( -2 \) (or -2/1) to move down 2 units and to the right 1 unit. This gives you another point at \( (1, 4) \).
3. You can continue this process for more points if needed.

Now you can plot the points and draw a straight line through them.