Question

What is the equation of the graphed line in point-slope form?

y – 1 = (x + 3)
y – 1 = (x – 3)
y + 1 = (x – 3)
y + 1 = (x + 3)

Answer 1

ANSWER


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

Step-by-step explanation

To find the equation in point-slope form, use the formula,


`y-y_1=m(x-x_1)`

The
`m`
is the slope of the line.

We can read from the graph that, the straight line passes through, the points

`(-3,-3) \: and \: (3,1)`

We can use these two points to find the slope of the line.

The slope can found using the formula,


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

This means that,


`m = (1 - - 3)/(3 - - 3)`


`m = (1 + 3)/(3 + 3)`


`m = (4)/(6)`


`m = (2)/(3)`

We now use one of the points, say

`(3,1)`
with the slope to find the equation of the line.


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