Question

9. What is the equation of the line that goes through (2, 4) and (-7.4)​

Answer 1

`y = 4`

Explanation:

To find the equation of a line using two known pointa, us this equation:

`\frac{ {y}^(2) - {y}^(1) }{ {x}^(2) - {x}^(1) }`

Like this:

`(4 - 4)/( - 7 - 2) = (0)/( - 9)`

So, our slope is 0. Next, we need to find the y intercept. To do this, we set up a slope-intercept equation with one of the point pairs we already know replacing x and y:

`4 = 0(4) + b \\ 4 = b`

Our y-intercept is 4. Now let's write our equation with the information we have:

`y = 4`

This should look like a line running parallel to the x-axis at 4 on the y axis. I hope that helped!