Question

How do you graph `y=1/2x-5` by plotting points?

Answer 1

Refer the explanation section.

Explanation:

The given function is linear. The curve will be a straight line.
Find two points. Plot them on a graph sheet. Join them with the help of a straight Line.

Given -

`y=1/2x-5`

Find the Y - intercept

At `x=0; y=1/2(0)-5`

`(0, -5)` is one of the points.

For the other point we would normally find the X-intercept.

If we did that with this equation we would create a fraction. It may be little difficult to fix that point. So, instead, assign a value to `y` so that you get a whole number as x-co-ordinate.

In our case we shall assign `+1` as y-co-ordinate.

At `y= 1; 1=1/2x-5`

`1/2x-5=1`
`1/2x=1+5=6`
`x=6 xx 2=12`

`(12, 1)` is another point.

Plot the points `(0,-5) and (12,1)`

Join them with a straight line. You get the curve.

Watch the video also