Question

which linear equation written in slope intercept form is represented by the line in the graph below.Graph photo will be in chat
`y = (3)/(5) x - 1`
`y = - (3)/(5) x - 2`
`y = - (5)/(3) x - 2`
`y = (5)/(3) x - 1`

Answer 1

To find the equation of a line in slope-intercept form you need to identify the slope (m) and the y-intercept (b)

To find the slope you use two point in the line:

Use the next formula to find the slope:

`m=(y_2-y_1)/(x_2-x_1)`
`m=(-2-3)/(0-(-3))=(-5)/(0+3)=-(5)/(3)`

The slope of the given line is m= -5/3

The y-intercept is the value of y when x is 0 (the point where the line cross the y-axis)

In this case the value of y when x is 0 is -2.

Then, you get the next equation for the given graph:

`y=-(5)/(3)x-2`