Write an equation in standard form of the line that passes through the given point and has the given slope M or that passes through the two given points. 1. (-3,2), M = 1

2. (4,-1), M =3

3. (0,5), M = -2

4. (-8,0), M =-4

5. (-4,-4), M = -3/2

6. (-6,-10), M = 1/6

7. (-8,4), (4,-4)

8. (-5,2), (-4,3)

9. (0,-1), (-6,-9)

10. (3,9), (1,1)

11. (10,6), (-12,-5)

12. (-6,-2), (-1,-2)

b.an increase in a causes b to decrease

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: