Write an equation of each line that passes through the following points in slope-intercept form:
1. A (8, –1) and B (–4, 17)
2. C (–19, 31) and D (1, –9)

1.  y = -3/2 x +11

2.  y = -2 x -7

Step-by-step explanation:

Slope intercept form is y = mx+b

1. A (8, –1) and B (–4, 17)

First we need to find the slope

m = (y2-y1)/(x2-x1)

m = (17--1)/(-4-8)

   =(17+1)/(-4-8)

   =18/-12

Dividing top and bottom by 6

  =-3/2

Given the slope

y = -3/2 x+b

Using the point (8,1) we can find b

-1 = -3/2(8) +b

-1 =-12 +b

Add 12 to each side

-1+12 = -12+12 +b

11 =b

The equation is y = -3/2 x +11

2. C (–19, 31) and D (1, –9)

First we need to find the slope

m = (y2-y1)/(x2-x1)

m = (-9-31)/(1--19)

   =(-40)/(1+19)

   = -40/20

   =-2

Given the slope

y = -2 x+b

Using the point (1,-9) we can find b

-9 = -2(1) +b

-9 =-2 +b

Add 2 to each side

-9+2 = -2+2 +b

-7 =b

The equation is y = -2 x -7

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.