graph each of the following 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 need to find the x and y intercepts first.
The y-intercept occurs at the point where the line crosses the y-axis, which means the x-coordinate is 0. To find the y-intercept, set x = 0 in the equation and solve for y:
18(0) + 36y + 72 = 0
36y + 72 = 0
36y = -72
y = -72/36
y = -2
So the y-intercept is at the point (0, -2).
Next, we find the x-intercept, which is the point where the line crosses the x-axis, meaning the y-coordinate is 0. To find the x-intercept, set y = 0 in 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 at the point (-4, 0).
Now we have the coordinates of both intercepts: (0, -2) and (-4, 0). Plot these points on a graph, connect them with a straight line, and that will be the graph of the equation 18x + 36y + 72 = 0.