Question

7. Select the correct answer. What is the pintercept of the line 2x+3y=6? ОА (0,2) OB. (20) OC (03) OD. 3,0)

Answer 1

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

`\begin{gathered} (3y)/(3)\text{ = }(-2x)/(3)\text{ + }(6)/(3) \\ y\text{ = }(-2)/(3)x\text{ + 2} \end{gathered}`

Step 4: Final answer

From the equation of a line y = mx + c

c = 2

Therefore, the intercept on y-axis = ( 0, 2 ) A