Question

What is the equation of the line that passes through the points (6,6) and (9,8)?

Answer 1

`y=(2)/(3)x+2`

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...

`Slope=(y_2-y_1)/(x_2-x_1)`

Plug in the given coordinates into the equation

`Slope=(8-6)/(9-6)=(2)/(3)`

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...

`y=(2)/(3)x+2`