9x - 4y = -36 in slope intercept form
y=mx+b
-4y=-9x-36
y=9/4x+9
To express the equation 9x - 4y = -36 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate y on one side of the equation.
Let's rearrange the equation step by step:
1. Start with the given equation: 9x - 4y = -36
2. Subtract 9x from both sides of the equation to move the term with x to the right side: -4y = -9x - 36
3. Divide each term by -4 to solve for y: y = (-9x - 36) / -4
4. Simplify the equation: y = (9/4)x + 9
Therefore, the given equation 9x - 4y = -36 can be written in slope-intercept form as y = (9/4)x + 9.
To express the equation 9x - 4y = -36 in slope-intercept form (y = mx + b), where m represents the slope of the line and b represents the y-intercept, follow these steps:
Step 1: Move the x-term to the other side of the equation.
9x - 4y = -36
-4y = -9x - 36
Step 2: Divide both sides of the equation by -4 to isolate y.
-4y / -4 = (-9x - 36) / -4
y = (9/4)x + 9
Therefore, the equation 9x - 4y = -36 can be written in slope-intercept form as y = (9/4)x + 9.