Question

What is the slope of the line graphed on the coordinate plane? A graph with a line running through coordinates (0, 6) and coordinates (1, -2)

Answer 1

Answer:

$m=-8$

Step-by-step explanation:

We have been given coordinates of two points on a line and we are asked to find the slope of the line running through the given points.

We will use slope formula to solve our given problem.

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

$m=\text{Slope of line}$,

$y_2-y_1=\text{Difference between two y-coordinates}$,

$x_2-x_1=\text{Difference between two x-coordinates of same y-coordinates}$.

Let point $(0,6)=(x_1,y_1)$ and point $(1,-2)=(x_2,y_2)$.

Upon substituting coordinates of our given points in slope formula we will get,

$m=\frac{-2-6}{1-0}$

$m=\frac{-8}{1}$

$m=-8$

Therefore, the slope of line passing through our given points is $-8$.

Answer 2

Answer

The slope of the line is -8

Explanation

To find the slope of our line we are going to use the slope formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

where

$m$ is the slope of the line

$(x_{1},y_{1})$ are coordinates of the first point

$(x_{2},y_{2})$ are the coordinates of the second point

We know that the first point on our graph is (0, 6), so $x_{1}=0$ and $y_{1}=6$. We also know that the second point is (1, -2), so $x_{2}=1$ and $y_{2}=-2$. Let's replace those values in our formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-2-6}{1-0}$

$m=\frac{-8}{1}$

$m=-8$

We can conclude that the slope of the line passing through the points (0, 6) and (1, -2) is -8.