Question

What is the equation of the line in slope-intercept form?

Answer 1

The equation of the line that passes through the points is y=3/5x+3

Answer 2

ANSWER

The equation of the line in slope-intercept form is


`y = (3)/(5) x + 3`

Step-by-step explanation

The slope intercept form of a line is given by

`y = mx + c`
Where
`m`is the slope and
`c`
is the y-intercept.

We can read any two points from the graph and use it to determine the slope of the line.

For instance, the graph passes through the points

`(-5,0)`and
`(0,3)`

The slope can be found using the formula,


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

This implies that,


`m = ( 3 - 0)/(0 - - 5)`


`m = ( 3 - 0)/(0 + 5)`


`m = ( 3 )/( 5)`

Also the y-intercept is


`(0,3)`

Therefore
`c = 3`

We substitute all these values in to the above equation to obtain,


`y = (3)/(5) x + 3`