Question

You are given the equation of a line: Ax + By = C (“General Form” of equation of a line)

Answer 1

The given equation is Ax + By = C.

(a) To find the x intercept, let y = 0. To find a y intercept, let x = 0.

When we evaluate the expression when y = 0, we get the x-intercept, when we evaluate the expression when x = 0, we get the y-intercept.

(b) Let's evaluate the expression to find the x-intercept of the line.

$\begin{gathered} Ax+B(0)=C \\ Ax=C \\ x=\frac{C}{A} \end{gathered}$

The x-intercept of the line is (C/A, 0).

(c) Let's evaluate the expression to find the y-intercept of the line. (x = 0).

$\begin{gathered} A(0)+By=C_{} \\ By=C \\ y=\frac{C}{B} \end{gathered}$

The y-intercept of the line is (C/B, 0).