Question

Find the slope of the line passing through (-3, 6) and (4, 10).

Find the slope of the line passing through (6, 2) and (-2, -2).
Find the slope of the line passing through (-7, -10 and (4, -10).
Solve the equation for "b"
7=2(4)+b
Solve the equation for "b"
-11=1/2(-4)+b
Solve the equation for "b"
4=-3/4(-8)+b
Evaluate the expression using: m=2/3 x=6 and b=-4
mx+b The expression is equal to
Evaluate the expression using: m=-1/2 x=-4 and b=2
mx+b The expression is equal to

Answer 1

1. 4/7

2. 1/2

3.20/11

4. b = -1

5. b = -9

6. b = -2

7. 0

8. 4.

Explanation:

Sorry for the Second one, I mean the image .

I first solve equation 5 instead of equation 4 that is why I have changed the numbers.

Also sorry for my cancellation

Answer 2

Slope:

1) m = 1/3

2) m = 1/2

3) m = 0

Solving for "b":

1) b = -1

2) b = -9

3) b = -2

Evaluate:

1) 0

2) 4

Explanation:

(-3, 6) and (4, 10) m = slope

m = 10 - 6 / 4 + 3

m = 4 / 12

m = 1/3

(6, 2) and (-2, -2)

m = -2 - 2 / -2 - 6

m = -4 / -8

m = 1/2

(-7, -10) and (4, -10)

m = -10 + 10 / 4 + 7

m = 0 / 11

m = 0

7 = 2(4) + b

7 = 8 + b

-1 = b

-11 = 1/2(-4) + b

-11 = -2 + b

-9 = b

4 = -3/4(-8) + b

4 = 6 + b

-2 = b

mx + b m = 2/3, x = 6, and b = -4

= 2/3(6) - 4

= 4 - 4

= 0

mx + b m = -1/2, x = -4, and b = 2

= -1/2(-4) + 2

= 2 + 2

= 4