Question

write the equation of a line that is parallel to 4x=3y=7 and also passes through the point (-5,2)

Answer 1

4x+3y=7?

Answer 2

yes

Answer 3

you need to find the slope of that line
3y=-4x+7
y=-(4/3)x+7/3
then you have a point and the slope of the new line, so using point slope form, y-2=-(4/3)(x+5)

Answer 4

im very lost after u find the slope

Answer 5

you dont know the slope when the equation of the line is in standard form, so you have to change it to a different form, the easiest form being slope intercept. so to find slope intercept form you solve for y, which is what i did. slope intercept form is y=mx+b where m is the slope. so -(4/3) is the slope. the using the point given, you can find the equation of the parallel line because it will have the same slope.

Answer 6

then i just took the slope and point and used them to figure out the new equation. point slope form is \[y-y_{1}^{}=m(x-x _{1}^{})\]so y1=2 and x1=-5

Answer 7

and m = -(4/3)