Question

Type an equation for the line

shown in the graph.
667
(-3,3).
10
(3.-1) iš y =
Simplify the fraction
completely
-6.67
Enter

Answer 1

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

Explanation:

Let the equation of the line given in the graph is,

y = mx + b

Where 'm' is the slope of the line

And 'b' represents the y-intercept

Since slope of a line passing through two points
`(x_1, y_1)` and
`(x_2,y_2)` is modeled by,

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

If this line passes through (-3, 3) and (3, -1),

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

m =
`-(4)/(6)`

=
`-(2)/(3)`

And 'b' = 1

Equation of this line will be,

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