Given equation : -6x+3y=18.9.
We need to find x and y-intercepts.
In order to find the x-intercept, we need to plug y=0 and solve the equation for x.
Plugging x=0 in given equation, we get
-6(0)+3y=18.9
0 +3y = 18.9
3y = 18.9
Dividing both sides by 3, we get
y = 6.3
In order to find the y-intercept, we need to plug x=0 and solve the equation for y.
Plugging y=0 in given equation, we get
-6x+3(0)=18.9
-6x = 18.9
Dividing both sides by -6, we get
x = -3.15.
Therefore, x-intercept is -3.15 and y-intercept is 6.3.
We could write them as coordinates
x-intercept (-3.15, 0)
y-intercept (0, 6.3).