use intercepts to graph the line described by each equation
x-6=3y
for y axis intercept, x = 0
-6 = 3 y
y = -2
so
(0,-2)
for x axis intercept, y = 0
x = 6
so
(6,0)
thank you
To graph the line described by the equation x - 6 = 3y using intercepts, we need to identify the x-intercept and the y-intercept.
1. X-Intercept:
To find the x-intercept, we need to set y = 0 and solve for x. So, substitute y = 0 into the equation:
x - 6 = 3(0)
x - 6 = 0
x = 6
Therefore, the x-intercept is 6.
2. Y-Intercept:
To find the y-intercept, we need to set x = 0 and solve for y. So, substitute x = 0 into the equation:
0 - 6 = 3y
-6 = 3y
y = -2
Therefore, the y-intercept is -2.
Now, we have the x-intercept (6) and the y-intercept (-2), which we can use to plot the line on a graph. Mark the x-intercept at (6, 0) and the y-intercept at (0, -2), and draw a straight line passing through both points.