Question

Which of the following is an equation of the line that passes through the point (3, 6) and has a slope of -3/4?
(A) y= -3/4x+33/4
(B)y=-3/4x-33/4
(C)y=-3/4+23/4
(D)y=-3/4x-23/4

Answer 1

y-y1 = m(x-x1)

Answer 2

m = 3/4 (x1,y1) = 3,6

Answer 3

which one is that? I have no idea how to do this

Answer 4

put the values in the equation I mentioned to proceed!

Answer 5

you can use point slope form, but you do not have to. You can also just use y = mx + b form.

Answer 6

yeah but im confused on how to do that

Answer 7

y = mx + b
slope(m) = -3/4
(3,6) x = 3 and y = 6
now sub and solve for b, the y intercept
6 = -3/4(3) + b
6 = -9/4 + b
6 + 9/4 = b
24/4 + 9/4 = b
33/4 = b

so your equation is : y = -3/4x + 33/4

Answer 8

it is also possible to solve using point slope form

Answer 9

y - y1 = m(x - x1)
slope(m) = -3/4
(3,6) x1= 3 and y1 = 6
now sub
y - 6 = -3/4(x - 3)
y - 6 = -3/4x + 9/4
y = -3/4x + 9/4 + 6
y = -3/4x + 9/4 + 24/4
y = -3/4x + 33/4

Answer 10

whichever way is easier for you to do

Answer 11

do you have any questions ?

Answer 12

no... thank you so much!!!

Answer 13

no problem :)