how do you find the slope and y-intercept of 9x-2y=-6
put the equation in the form
y = mx + b
m is the slope
(0,b) is the y intercept
To find the slope and y-intercept of the equation 9x - 2y = -6, we need to rearrange the equation into the form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's proceed step by step:
Step 1: Move the 9x term to the other side of the equation:
-2y = -9x - 6
Step 2: Divide both sides of the equation by -2 to isolate the y variable:
y = (-9x - 6) / -2
Step 3: Simplify the right side of the equation:
y = 9/2 * x + 3
Now, we have the equation in the form y = mx + b, where m = 9/2 represents the slope and b = 3 represents the y-intercept.
Therefore, the slope is 9/2 and the y-intercept is (0, 3).