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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:

1 answer

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.