Answer:
[tex]y=\frac{2}{3}x+2[/tex]
Step-by-step explanation:
The equation for a line is:
y=mx+b
m=slope
b=y-intercept
x,y=(x,y) coordinate pair
Start by finding the slope. The equation for slope is...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given coordinates into the equation
[tex]Slope=\frac{8-6}{9-6}=\frac{2}{3}[/tex]
Now, we can use the slope and an x,y coordinate pair to find the y-intercept...
y=mx+b
6=2/3(6)+b
6=12/3+b
6=4+b
Subtract 4 from both sides
b=2
Therefore the equation is...
[tex]y=\frac{2}{3}x+2[/tex]
