I trying to make this equation 3x+9y=18 into Y=mx+b.How do I that.
3x + 9y = 18
y = mx + b
solve for y,
9y = -3x + 18
y = -3x/9 + 18/9
simplify the equation
solve for y.
y=-(x-6)/(3)
To convert the equation 3x + 9y = 18 into the slope-intercept form, Y = mx + b, where m is the slope and b is the y-intercept, you need to isolate y on one side of the equation.
Step 1: Start with the given equation: 3x + 9y = 18.
Step 2: Subtract 3x from both sides of the equation to move the x term to the right side: 9y = -3x + 18.
Step 3: Divide both sides of the equation by 9 to isolate y: y = (-3/9)x + 2.
Simplifying further, we can reduce -3/9 to -1/3, so the final equation becomes:
Y = (-1/3)x + 2.
Now you have successfully converted the equation 3x + 9y = 18 into the slope-intercept form Y = mx + b. In this case, the slope is -1/3 and the y-intercept is 2.