Question #7903f

1 Answer
Oct 27, 2017

y=-2/3x-2

Explanation:

If it is parallel the gradients will be the same for both lines.
To find the gradient of the equation given it needs to be rearranged in to the form:

y=mx+c

this gives us:

3y=3-2x then divide by 3 to cancel 3y to y
=y=-2/3x+1

gradient = m, therefore gradient is equal to -2/3

now we know the gradient and a point on the line we can substitute these values in the y=mx+c to find the value of c

this gives us:
-4=-2/3(3)=c

when solved for c we get c=-2

with the gradient value and the value of c the equation is:
y=-2/3x-2