Question

Find a line that has a y-intercept of 6 and is parallel to the line of 2x+3y+4=0.

Answer 1

first you have to put the equation in slope intercept form
2x+3y+4=0
3y+4=-2x
3y=-2x-4
y=-2/3x-4/3
notice that the slope is -2/3 having a line parallel means it has the same slope
now put it in point slope form: y- ysub 1=m(x-x sub 1) (it has to have a y value of 6)
y-6=-2/3(x-0)
solve
y=-2/3x+6
graph and check to make sure it is parallel

Answer 2

ook thanks!