Respuesta :

Answer:

1) (the red) y= 3x +2

2) (the green) y= -1x + 4

Step-by-step explanation:

Slope intercept form: y = mx + b

where m is the slope and b is the y intercept.

you can find the slope by using the formula [tex]\frac{rise}{run}[/tex], where you use two points on the line and find the space between the two.

Pic 1 or has line that is orange

y=3x+2

Pic 2 or has line that is green

y=-1x+4

Slope intercept form is y=mx+b.

m=slope

b=y-intercept

For pic 1, the point which is intercepted at the y-axis is 2, so the y-intercept is 2.

To find the slope, we take two points, I'm using (-1,-1) and (-2,-4) and divide y2-y1 and x2-x1.

-4-(-1)  /  -2-(-1)

= -3/-1 = 3

b= 2

m= 3

y=3x+2

For pic 2, the point that is intercepted at the y-axis is (0,4), so the y-intercept is 4.

To find the slope, we take the two points (-2,6) and (-1,5) and divide.

5-6 / -1-(-2)

= -1/1 = -1

b= 4

m= -1

y=-1x+4