Question

Draw graph of following pair of linear equations:
y = 2(x - 1)
4x + y = 4
Also write the coordinate of the points where these lines meets x-axis and y - axis.

Answer 1

y = 2 (x - 1)
So,
$\begin{array}{cccccc}\text{x}& 1& 2& 3& 4& \\ \text{y}& 0& 2& 4& 6& \end{array}$
And for, 4x + y = 4
or y = 4 - 4x
$\begin{array}{cccc}\text{x}& 1& 2& \frac{1}{2}\\ \text{x}& 0& -4& 2\end{array}$

Co-ordinates of point where lines meets
Line y = 2(x - 1) : x axis = (1, 0)
and y - axis = (0, -2)
Line 4x + y = 4: x - axis = (1, 0)
y - axis = (0, 4)