Equations of lines.

Find the general equation of the line with gradient 1/2 which passes through the point \( A(1, 2) \).

The gradient and the point on the line are given so use the point-gradient form.

\[ \begin {align} y - 2 &= 1/2(x-1) \\ y &= 1/2x + 3/2 \end{align} \ \]

Transform to the general form of the line. This means making the coefficient of x positive.

\[ \begin {align} 2y &= 2x + 3 \\ 2x - 2y + 3 &= 0 \end{align} \ \]

Important This is not a 'textbook on a screen' - this is an interactive learning system. Which means you have to 'act' to make it go.

Look through the options below and select the one you think is the best response. You will gain most benefit if you work the problem with pen and paper as you go, i.e. decide what you think is the correct option and write down what you think the result will be before you click. If the next step doesn't display, click another option.

What form for the equation of a line should you start with?

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