Question

Drag the red and blue dots along the x-axis and y-axis to graph -2x+2y=8

Answer 1

Given:

An equation -2x + 2y = 8.

To find:

The graph of the equation.

Solution:

First find two points that satisfies the equation, that means the line passes through the given points.

At x = 0,

`\begin{gathered} -2(0)+2y=8 \\ 2y=8 \\ y=4 \end{gathered}`

At y = 0,

`\begin{gathered} -2x+2(0)=8 \\ -2x=8 \\ x=-4 \end{gathered}`

So, the two points are (0, 4) and (-4, 0).

Plot these two points and join them to draw the graph of the equation as follows: