Question

Find the y-intercept of the line: 6x – 3y +6=0A) 2B)-1/2C)-2D)1/2

Answer 1

Given the line;

`6x-3y+6=0`

To find the y-intercept, we would make "y" the subject of the formula and compare the new equation with the general equation of a line.

`\begin{gathered} 6x-3y+6=0 \\ 3y=6x+6 \\ 3y=3(2x+2) \\ Divid\text{ both sides by }3 \\ (3y)/(3)=(3(2x+2))/(3) \\ y=2x+2 \end{gathered}`

Recall that the equation of a line is given as;

`y=mx+c`

Where "m" is the gradient of the line and "c" is the y-intercept

By comparing both equations we would get the y-intercept(c) as;

`c=2`

Answer: Option A