This line represents all the points (x, y) that satisfy the equation
-12x−3y=36.
To graph the equation −12x−3y=36, we can start by rearranging it into the slope-intercept form
y=mx+b, where
m is the slope and
b is the y-intercept.
Given equation:
−12x−3y=36
First, add 12x to both sides:
−3y=12x+36
Next, divide by −3 to solve for y:
y=−4x−12
Now, we can identify the slope (m) and y-intercept (b).
Slope (m): -4
Y-intercept (b): -12
To graph the equation:
Start at the y-intercept, which is -12 on the y-axis.
Use the slope to find a second point. The slope -4 means that for every 1 unit you move to the right, you move 4 units down. So, from the y-intercept, move 1 unit to the right and 4 units down to find another point.
Draw a line that passes through both points.
This line represents all the points (x, y) that satisfy the equation
-12x−3y=36.