Question

Slope Intercept Form And Equations From Graphs

Answer 1

Answer:

1. Choice B

2.  Choice C

3.  X=-2

4.  Choice A

5. y = 5/2 x + 5

Step-by-step explanation:

1.  

   the slope is down 3 over 2     m =-3/2

point slope form

y-y1= m (x-x1)

y-y1 = -3/2 (x-x1)

Choice B

2.  (-3,-1)  (1/2,2)

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

m=(2--1)/(1/2--3)  = (2+1)/(1/2+3) = 3/(3.5) =  multiply top and bottom by 2

  m = 6/7

point slope form

y-y1 = m(x-x1)

y--1 = 6/7 (x--3)

y+1 =6/7 (x+3)

multiply by 7

7y+7 = 6(x+3)

7y+7 = 6x+18

subtract 7y from each side

7 = 6x-7y+18

subtract 18 from each side

-11=6x-7y

Choice C

3.  x=-2

This is a vertical line, the value of x never changes

4.   (-1,2) (1,-4)

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

      = (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3

point slope form

y-y1 = m(x-x1)

y-2 = -3(x--1)

y-2 = -3(x+1)

y-2 = -3x-3

add 2 to each side

y = -3x-1

Choice A

5.  (-2,0)  (0,5)

the y intercept is 5

slope is change in y over change in x

slope =(y2-y1)/(x2-x1)  = (0-5)/(-2-0) = -5/-2 = 5/2

slope intercept form

y= mx+b

y = 5/2 x + 5