Question

Graph the function$\mathrm{y}=-2\mathrm{x}+6$

Answer 1

Step 1: Finding the values of input and output or $\mathrm{x}$ and $\mathrm{y}$ coordinates.

Make an input-output table:

Input $\mathrm{x}$	Output, $\mathrm{y}=-2\mathrm{x}+6$	Ordered pair
$-1$	$\mathrm{y}=-2\times -1+6=2+6=8$	$(-1,8)$
$0$	$\mathrm{y}=-2\times 0+6=6$	$(0,6)$
$1$	$\mathrm{y}=-2\times 1+6=-2+6=4$	$(1,4)$

Step 2: Plotting the graph of the function $\mathrm{y}=-2\mathrm{x}+6$.

Using the above ordered pair mark the coordinates on the graph to get points.

Then draw a straight line passing through that points, we get;

Hence, the graph of the function $\mathrm{y}=-2\mathrm{x}+6$ is shown above.