math

1)

Formula for slope:

y=mx+b
-4=(-3/4)(8)+b    substitution
-4=-6+b
4+6=b    additive inverse
2=b

Now we can substitute b into our equation.

So, y=(-3/4)x+2 will be our answer!

(Thanks to CPhill for correcting me!)

Deleted, answer incorrect.

3) Again! :D

y=mx+b
-4=(-6)(1)+b    substitution
-4=-6+b
4+6=b    additive inverse
2=b

Now we can substitute b into our equation.

So, y=-6x+2 will be our answer!

4) A HORIZONTAL line's slope is unchanging, so the slope is 0.

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

m = −6, point (−1, −4)

y = -6( x - - 1)  - 4

y  = -6 ( x + 1)  -  4

y = -6x  - 6  -  4

y = -6x  - 10

Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.

a horizontal line containing (−3, −5)

A horizontal  line  will  just  have  the equation

y = - 5       (the  y coordinate of the given point)