What are the x and y-intercepts of the line described by the equation? - 6+3y=18.9

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).