Question

Find an equation of the line that contains the given pair of points. ​(negative 4 ​, 7 ​), ​(minus 2​,minus7 ​) The equation of the line is nothing.

Answer 1

Answer:

$y=-7x-21$

Step-by-step explanation:

We have been given two points on a line as $(-4,7)$ and $(-2,-7)$. We are asked to find the equation of the line passing through these points.

We will write our equation in slope-intercept form $y=mx+b$, where m represents slope of line and b represents the y-intercept.

Let us find slope of line using our given points as:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-7-7}{-2-(-4)}$

$m=\frac{-14}{-2+4}$

$m=\frac{-14}{2}$

$m=-7$

Now, we will substitute $m=-7$ and coordinates of point $(-4,7)$ in slope-intercept form of equation as:

$7=-7(-4)+b$

$7=28+b$

$7-28=28-28+b$

$-21=b$

Substitute $-21=b$ and $m=-7$ in slope-intercept form of equation:

$y=-7x-21$

Therefore, our required equation would be $y=-7x-21$.