How do you solve for y in #6y=-3x+12#? Algebra Graphs of Linear Equations and Functions Slope-Intercept Form 1 Answer Ricardo · Stefan V. May 10, 2018 #y=-1/2x+2# Explanation: Divide both sides by #6# since the #y# is #6y# and you want to isolate the variable. In this case, dividing #6# works since it results in #y#. When you do it to the other side, #(-3x)/6 = -1/2x" "# and #" "12/2 = 2# Answer link Related questions What is Slope-Intercept Form? How do you find the "m" and "b" of any linear equation? How do you determine the slope and y intercept when given a graph? Why is slope "rise over run"? How do you find the slope and y intercept of #2x+5=y#? What is the slope and y intercept of #y=x#? What is the slope and y intercept of #y=3.75#? How do you write #7+\frac{3}{5} x=y# in slope intercept form? How do you write #-5x+12=20# in slope intercept form? How do you write an equation in standard form for a line that goes through (5, –2) and (–5, 4)? See all questions in Slope-Intercept Form Impact of this question 5835 views around the world You can reuse this answer Creative Commons License