Respuesta :

fredycopete

Answer:

[tex]y=\frac{5}{2} x-2\\[/tex]

Step-by-step explanation:

y-intersect Point: (0,-2)

Substitute the values of the y-intercept point:

[tex]y=mx+b\\[/tex][tex]-2=m*0+b\\[/tex]

[tex]b=-2[/tex]

Another point: (2,3)

substitute the values of the point:

[tex]y=m*x-2\\3=m*2-2\\5=2m\\m=\frac{5}{2\\}[/tex]

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

[tex]y=\frac{5}{2}x-2\\[/tex]

Answer:

y=5/2x-2

Step-by-step 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

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