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

Question

asked Jul 8, 2021 105k views

2 Answers

Vitruvie · Answer 1 · 2021-07-08T14:07:15+0000

Answer:

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

Gusthema · Answer 2 · 2021-07-13T14:57:43+0000

Answer:

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

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:

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