Question

How do you graph `y=1/3x+2` by plotting points?

Answer 1

See explanation

Explanation:

`color(brown)("Note that as the slope is constant ("1/3") then this is a straight line graph")`

Build a table of values: Use different numbers for x than I have (gives you practice). Work out the `y`-values.
Choose multiples of `3` for whole number answers.

I have chosen three points as a check. All of them should line up. If not then there is an error so you will need to check your calculations and plotting.

My table gives the points: `" "(x,y)->(-10,-1 1/3)"; "(0,2)"; "(10,5 1/3)`

Draw your axes for `x and y`

Chose an appropriate scale and mark the values on the `x and y` axis.

Use these scales to mark your points and label them.

Draw a straight line through all three points. Extend the line to the edge of the squared area of the graph paper.

Put a title/heading on the graph stating what the equation is.