The equation 9x+12y= 396
Rewrite the equation in slope intercept form to make it easier to graph y= mx+b simplify all fractions enter values as simplified fractions or terminating decimals
To rewrite the equation in slope-intercept form, we need to solve it for y.
9x + 12y = 396
First, let's isolate y by subtracting 9x from both sides of the equation:
12y = 396 - 9x
Next, divide both sides of the equation by 12 to solve for y:
y = (396 - 9x) / 12
Simplifying the expression on the right side:
y = (33 - (3/4)x)
Therefore, the equation in slope-intercept form is y = -(3/4)x + 33.
To rewrite the given equation in slope-intercept form, which is in the form y = mx + b, we need to isolate y on one side of the equation.
Given equation: 9x + 12y = 396
Step 1: Subtract 9x from both sides of the equation to isolate the y term:
12y = -9x + 396
Step 2: Divide both sides of the equation by 12 to solve for y:
y = (-9/12)x + 396/12
Step 3: Simplify the fraction and decimal:
y = (-3/4)x + 33
So, the given equation, 9x + 12y = 396, can be rewritten in slope-intercept form as y = (-3/4)x + 33.
To rewrite the equation 9x + 12y = 396 in slope-intercept form (y = mx + b), we need to isolate y.
Starting with the given equation:
9x + 12y = 396
Step 1: Subtract 9x from both sides to isolate the y term.
12y = -9x + 396
Step 2: Divide the entire equation by 12 to simplify the coefficient of y.
y = (-9/12)x + (396/12)
Step 3: Simplify the fraction -9/12 as a simplified fraction or terminating decimal.
-9/12 can be simplified by dividing both numerator and denominator by their greatest common divisor, which is 3:
y = (-3/4)x + (33/4) (simplified fraction)
As a terminating decimal, -3/4 = -0.75
So, the equation in slope-intercept form is:
y = -0.75x + 8.25