Question

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

Answer 1

Answer:

$y = 4$

Step-by-step 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:

$\frac{4 - 4}{ - 7 - 2} = \frac{0}{ - 9}$

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!