math please help

Question

Determine the equation of the line passing through each point below and having the corresponding slope. Give the equation in slope intercept (y=mx+b) form where possible.

Ordered Pair Slope Equation of the line

(−7,3) m=4/7

 (−8,10) m=0

 (−9,−33) m=10/3

 (−9,−8) m=2/9

 (8,−7) The slope

does not exist

Answer 1

line with slope=4/7 through point (-7,3) has y intercept = b where b satisfieds

the equation 3=(4/7)(-7) +b

b = 3+4 = 7

the equation is: y=(4/7)x + 7

line with zero slope through (-8,10) is: y=10

in slope intercept form: y=0(x) +10

m=10/3 (-9,-33)

-33 = (10/3)(-9)+b

b =-33+30=-3

y=(10/3)x -3

m=-2/9 (-9,-8)

-8 =(-2/9)(-9)+ b

b=-8-2=-10

y =(-2/9)x -10

(8,-7) slope DNE

it's a vertical line with x=constant =8

x=8 is the equation

no equivalent y=mx+b form as there is no b, b DNE, y intercept DNE and m DNE