graph each of the foloowing equations below using their intercepts?.
18x + 36y + 72 = 0
find the intercepts
Y intercept is when x is zero
x intercept is when y is zero.
plot those points, connect the dots.
To graph the equation 18x + 36y + 72 = 0 using its intercepts, we first need to find the intercepts.
Step 1: Find the y-intercept
The y-intercept occurs when x = 0. To find the y-intercept, substitute x = 0 into the equation and solve for y:
18(0) + 36y + 72 = 0
36y + 72 = 0
36y = -72
y = -72/36
y = -2
Therefore, the y-intercept is (0, -2).
Step 2: Find the x-intercept
The x-intercept occurs when y = 0. To find the x-intercept, substitute y = 0 into the equation and solve for x:
18x + 36(0) + 72 = 0
18x + 72 = 0
18x = -72
x = -72/18
x = -4
Therefore, the x-intercept is (-4, 0).
Now, we can plot the y-intercept (0, -2) and the x-intercept (-4, 0) on the graph. Then, we can draw the line passing through these two points since the equation represents a straight line.