Answer:
The slope-intercept form of an equation looks like this: y=mx+b
The m stands for the slope and the b stands for the y-intercept.
We need two points from the line to write out this equation.
For example (-2,0) and (1,2)
Now that we have the slope, we can plug it into our equation: y= 2/3x + b
To get b, our y-intercept, we just need to plug in one of the points found and solve. For example (-2,0)
Now that we have both our m and b values, we can plug them in to get our equation: y=2/3x + 4/3
Step-by-step explanation:
[tex]m= \frac{y1-y2}{x1-x2} = \frac{0-2}{-2-1}[/tex]
[tex]m=\frac{-2}{-3} = \frac{2}{3}[/tex]
[tex]0=\frac{2}{3}(-2)+b[/tex]
[tex]0=-\frac{4}{3}+b\\ 0+\frac{4}{3}=-\frac{4}{3}+\frac{4}{3}+b\\ 0+\frac{4}{3}=b\\ \frac{0*3}{3}+\frac{4}{3}=b\\ \frac{4}{3}=b[/tex]
