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.
Simultaneous equations
To graph the equation 6x - 3y - 12 = 0 using intercepts, we need to find the x-intercept and the y-intercept.
1. Y-intercept:
To find the y-intercept, we set x to zero in the equation and solve for y.
6 * (0) - 3y - 12 = 0
-3y - 12 = 0
-3y = 12
y = -4
So the y-intercept is at the point (0, -4).
2. X-intercept:
To find the x-intercept, we set y to zero in the equation and solve for x.
6x - 3 * (0) - 12 = 0
6x - 12 = 0
6x = 12
x = 2
Therefore, the x-intercept is at the point (2, 0).
Now, plot these two points on a graph. The y-intercept is at (0, -4) and the x-intercept is at (2, 0).
Next, connect the dots by drawing a straight line passing through both points. This line represents the graph of the equation 6x - 3y - 12 = 0.