Question

What is the y-intercept of the graph of the equation 6x-5y=-15

Answer 1

y-intercept = 3

Explanation:

The given equation is :

6x-5y=-15

We can rewrite it ib slope-intercept form as follows :

Dividing both sides by 5

`(6x)/(5)-y=(-15)/(5)\\\\(6x)/(5)-y=-3\\\\(6x)/(5)+3=y` .....(1)

The general equation of slope-intercept form is:

y = mx +c ....(2)

On comparing equation (1) and (2) we get :

m = 6/5

c = 3

Hence, the y intercept of the graph of the equation is 3.