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

`y=-\frac{2}{3}x+5`

Begin with `b,`the y-intercept:
Type the number only. Do NOT enter a coordinate.Use the Desmos graphing calculator to check your graph:

1 answer

The slope-intercept form of a linear equation is given by \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

In the given equation \( y = -\frac{2}{3}x + 5 \):

  • The slope \( m = -\frac{2}{3} \).
  • The y-intercept \( b = 5 \).

Now, to answer your question: b, the y-intercept: 5

You can use the Desmos graphing calculator to verify the graph of the equation. The graph will show a line with a slope of \(-\frac{2}{3}\) that crosses the y-axis at the point (0, 5).