Question

11. Find the equation of the straight line that passes through (-4,2), (3,2) and (7,2).​

Answer 1

Explanation:

`(2 - 1 \frac{3 {3}^(2) }{?}`

Answer 2

`y=2`

Explanation:

To solve this question, we can use the point-slope formula as we are given points on the line. This is the format:

`y-y_(1) =m(x-x_(1) )`

The first step is to find the slope by substituting in two of the points. Let's try using (7,2) and (3,2):

`2-2=m(7-3)\\0=4m\\m=0`

So now we have found that our slope is 0 meaning it is a flat line (shown by the unchanging y values through all three points).

The form for line equations is:

`y=mx+c`

However, since our m=0, it is simplified to this:

`y=c`

The y-value for all the points is 2, meaning c=2 (as it is also the y-intercept)

Therefore our final equation is:

`y=2`

Hope this helped!