Question

Give the equation of a line that is parallel to the line –3x + 4y = –2 and passes through the point (–4, 6).

Answer 1

A. y=-3/4x+3

B. y= 3/4x+9

C. y= 3/4x - 1/2

D. y= 4/3x -4

Answer 2

first find the slope of line –3x + 4y = –2
can you ?

Answer 3

Hey ... two lines are parallel if they have the same slopes... So rearrange the given line to get y=..........
The coefficient of 'x' in such case would be the slope of the given line...
as y=mx +c has slope 'm'...

Answer 4

@hartnn m=3/4

Answer 5

thats is correct!
now since parallel lines have same slope, slope of your line also = m=3/4
you have point (x1,y1) = (-4,6)
use the form
y-y1 = m(x-x1) to get the equation....

Answer 6

@hartnn y=3/4x + 9

Answer 7

is this the correct answer

Answer 8

yes, it is :)

Answer 9

Thank you!! :)

Answer 10

Welcome!! :)

Answer 11

Parallel lines have the same gradient or slope so by re-arrenging your eqn...we get y=3x/4-1/2 which is in the form y=mx+c Hence 3/4 is the slope.... By using the formular for slope....m=(Y-y1)/(X-x1) where x1=-4 and y1=6 we subsitute into the formular....3/4=(y-6)/(x-_4) by working that out we get....y=3x/4+9