graph each of the following equations below using their intercepts?.
6x - 3y - 12 = 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 6x - 3y - 12 = 0 using intercepts, we need to find the x-intercept and y-intercept.
To find the y-intercept, we set x = 0 and solve for y. So, let's substitute x = 0 into the equation:
6x - 3y - 12 = 0
6(0) - 3y - 12 = 0
-3y - 12 = 0
-3y = 12
y = -4
Therefore, the y-intercept is (0, -4).
To find the x-intercept, we set y = 0 and solve for x. So, let's substitute y = 0 into the equation:
6x - 3y - 12 = 0
6x - 3(0) - 12 = 0
6x - 12 = 0
6x = 12
x = 2
Therefore, the x-intercept is (2, 0).
Now, we can plot these two points on a graph:
Y-intercept: (0, -4)
X-intercept: (2, 0)
Next, we connect the two points by drawing a straight line through them.
The graph of the equation 6x - 3y - 12 = 0, using intercepts, would look like a straight line passing through the points (0, -4) and (2, 0).