question\nput the following equation of a line into slope - intercept form, simplifying all fractions.\n3x +…
question\nput the following equation of a line into slope - intercept form, simplifying all fractions.\n3x + 6y = 36
Answer
Explanation:
Step1: Isolate the y - term
Subtract (3x) from both sides of the equation (3x + 6y=36). We get (6y=-3x + 36).
Step2: Solve for y
Divide each term in the equation (6y=-3x + 36) by 6. So (y=\frac{-3x}{6}+\frac{36}{6}).
Step3: Simplify the fractions
Simplify (\frac{-3x}{6}) to (-\frac{1}{2}x) and (\frac{36}{6}) to 6. So (y =-\frac{1}{2}x+6).
Answer:
(y =-\frac{1}{2}x + 6)