Question

Find the value of the y-intercept of the line whose equation is 2x + 3y = 6. 2 3 6

Answer 1

the answer would be 2. so sorry it took so long to get ur question answered!!
Hope this helps!!

Answer 2

The y-intercept is in the point with coordinates y = 2

(And x = 0)

Explanation:

Given a generic line with the equation
`y=ax+b` the y-intercept can be calculated replacing the variable ''x'' by 0 and finding the value of ''y'' that verifies the equation.

In the exercise we haven't got the line in the form
`y=ax+b` but also we can calculate the y-intercept replacing x = 0 and finding the ''y'' value that verifies the equation :

`2x+3y=6\\2.(0)+3y=6\\3y=6\\y=(6)/(3)=2 \\y=2`

We calculate the y-intercept like this because all the points that are over the y-axis have the following form (0,y) being ''y'' a real number.

For this line in particular, the y-intercept will be the point with coordinates (0,2).