Question

Picture shown!

Please help!!!

Write the equation of the given line in slope-intercept form:

Answer 1

The equation of the line in slope - intercept form is
`y=-3x+1`

Step-by-step explanation:

From the graph, the given coordinates are
`(-1,2)` and
`(1,-4)`

We need to determine the equation of the line in slope intercept form.

The equation of the line can be determined using the formula,

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

First, we shall find the value of the slope.

The slope can be determined by substituting the points
`(-1,2)` and
`(1,-4)` in the slope formula, we get,

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

`m=(-4-2)/(1+1)`

`m=(-6)/(2)`

`m=-3`

Thus, the slope is
`m=-3`

Now, we shall substitute the coordinate
`(-1,2)` and the slope
`m=-3` in the formula
`y-y_1=m(x-x_1)`, we get,

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

`y-2=-3x-3`

`y=-3x+1`

Thus, the equation of the line in slope intercept form is
`y=-3x+1`