Question

Find the equation of the line that passes through the point (6,9) and is parallel to y = -4/3x + 9

a. y=-4/3x +17
b. y=-4/3x + 1

Answer 1

do you know what the slope is in y = -4/3x + 9 ??

Answer 2

Yes, -4/3. :)

Answer 3

good..now a parallel line will have the same slope, -4/3. Now we can use y = mx + b and solve for b.
y = mx + b
(6,9) x = 6 and y = 9
m = -4/3
now we sub
9 = -4/3(6) + b
9 = -24/3 + b
9 = -8 + b
9 + 8 = b
17 = b
so your parallel equation is : y = -4/3x + 17

Answer 4

Thank you so much!! xx

Answer 5

no problem :)