Question

5. Write the slope-intercept form of the equation of the line graphed below.​

Answer 1

y=5/2x-2

Explanation:

grab 2 points in this case (0,-2) and (2,3)

use rise over run formula so it rises 5 and goes over 2

so 5/2 is the slope

and the y intercept is -2 because thats when the slope touches the y line

so using the equation y=mx+b when m is slope and b is y interecept

and since the y interecept is negative replace the plus sign with a minus

the answer should be y=5/2x-2

Answer 2

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

Explanation:

y-intersect Point: (0,-2)

Substitute the values of the y-intercept point:

`y=mx+b\\`
`-2=m*0+b\\`

`b=-2`

Another point: (2,3)

substitute the values of the point:

`y=m*x-2\\3=m*2-2\\5=2m\\m=(5)/(2\\)`

So the slope-intercept form of equation of the line is:

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