Math: Fraction Slope problems. (2 questions.)

Question

how would you solve -1/3y+4x=3? I'm confused but I know the basics it's just that I haven't learned how to do the fractions yet. -X/3+4 Can someone explain both problems and how to solve them and please leave tips that I can do for my test? Thank you.

Answer 1

-(1/3)y + 4x = 3

multiply by 3 to eliminate the fraction

-y + 12x = 9

solve for y

add y-9 to both sides

12x-9 =y

y = 12x -9 is the equation in slope intercept form. Graphically, it's a line with slope =12 and intercept =-9

the slope = the coefficient of the x term when the equation is solved for y. the y intercept = the constant term = -9

UNLESS you really did mean to write -1/3y +4x = 3

which actually means -1/(3y) + 4x = 3

then

-1/3y = 3-4x

-1/(3-4x) = 3y

y =-1/(9-12x) which graphically is a rectangular hyperbola.

Odds are very likely you want the first solution above, for a line