Step 1: Problem
Find the y-intercept on the equation 2x + 3y = 6
Step 2: Concept
To find the intercept on y-axis, make y subject of the formula in the form of y = mx + c
Intercept = c
Step 3: Method
2x + 3y = 6
3y = - 2x + 6
Divide through by 3
[tex]\begin{gathered} \frac{3y}{3}\text{ = }\frac{-2x}{3}\text{ + }\frac{6}{3} \\ y\text{ = }\frac{-2}{3}x\text{ + 2} \end{gathered}[/tex]
Step 4: Final answer
From the equation of a line y = mx + c
c = 2
Therefore, the intercept on y-axis = ( 0, 2 ) A
