Respuesta :

Answer:

-3/4

Step-by-step explanation:

1) lets take two points on the graph

(0,1) and (-4,4)

formula of slope:

[tex]\frac{y2-y1}{x2-x1}[/tex]

where y2=4

y1=1

x2=-4

x1=0

so

[tex]\frac{4-1}{-4-0}[/tex]

3/-4

-3/4 is the slope

Answer:

y = -3/4 + 1

Step-by-step explanation:

y = mx + b

m = slope

b = y - intercept

b = 1

To find the slope, we can use any two coordinates on the line depicted on the graph above.

Let's use the coordinates (0,1) and (4,-2).

The formula to find the slope is rise/run.

-2 - 1 / 4 - 0 = -3/4

Our slope is -3/4, but we can check it by plugging it into an equation and using the y - intercept.

Let's use the coordinates (4,-2).

-2 = 4(-3/4) + 1

-12/4 = -3

-3 + 1 = -2