Question

Write the equation of a line that passes through the points (2, 0) and (4, -6).

y = -3x + 6


y = 3x + 2


y = 3x + 4


y = 3x - 4

Answer 1

first we need to find the slope using the slope formula...
slope(m) = (y2 - y1) / (x2 - x1)
(2,0) x1 = 2 and y1 = 0
(4,-6) x2 = 4 and y2 = -6
now we will sub our info into the formula..
slope(m) = (-6 - 0) / (4 - 2)
m = -6/2
m = -3

now that we have the slope, we will use the point slope formula:
y - y1 = m(x - x1)
slope(m) = -3
(2,0) x1 = 2 and y1 = 0
now lets sub
y - (-0) = -3(x - 2)
y + 0 = -3x + 6
y = 3x + 6

any questions ?

Answer 2

would it be y=- 3x+6

Answer 3

oops....yes...sorry about that

Answer 4

okay thank you!!!!!

Answer 5

anytime :)