Question

Find an equation of the line, passing through the given points . Use function notation Write the equation. (-3,-3) and (-6,-2) f(x) =

Answer 1

`y=(1)/(3) x-2`

Explanation:

First we have to find the slope, using the slope formula.

m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

When we plug in the values,

`(-3+2)/(-3+6)` which is equal to 1/3.

Now, we use point-slope form to find the y-intercept of the graph.

`y_(2) -y_(1) =m(x_(2) -x_(1) )`

When we plug in the values,

`y_2+3=(1)/(3) (x_2+3)`

Distribute and we get:
`y_2=`
`(1)/(3) x-2`

Therefore our line has a slope of 1/3 and a y-int of -2.