The given equation is
-6y =-3x +18
In this question, we have to use the intercepts to graph the line. For that, it is important to understand the intercepts.
X-intercept: It is the point where the graph crosses the x-axis. Therefore, the value of y is zero at that point. By following this definition, we can get the value of x-intercept.
-6y =-3x +18
-6(0) = -3x + 18. (as y=0 at x-intercept)
0 = -3x + 18
3x = 18
x = 18/3
x = 6
Hence, the point at x-intercept would be (6, 0)
y-intercept: It is the point where the graph crosses the y-axis. Therefore, the value of x is zero at that point. By following this definition, we can get the value of y-intercept.
-6y =-3x +18
-6y = -3(0) + 18. (as x=0 at y-intercept)
-6y = 0 + 18
-y = 18/6
-y = 3
y = -3
Hence, the point at y-intercept would be (0, -3)
Using these two points, you can draw the line.
You can see the line in the above graph (1 box = 5 units)