Question

Find the slope of the line containing the two points.

(0,3),(4,0)

Please show work

Answer 1

Answer:

$m=-\frac{3}{4}$.

Step-by-step explanation:

We have been given coordinates of two points on a line. We are asked to find the slope of the line using given points.    

We will use slope formula to solve our given problem.

$m=\frac{y_2-y_1}{x_2-x_1}$, where,  

m = Slope of line,

$y_2-y_1$ = Difference between two y-coordinates on the line.

$x_2-x_1$ = Difference between two x-coordinates of the same y-coordinates.

Let $(0,3)=(x_1,y_1)$ and $(4,0)=(x_2,y_2)$

Substitute coordinates of the given points in slope formula:

$m=\frac{0-3}{4-0}$

$m=\frac{-3}{4}$

$m=-\frac{3}{4}$

Therefore, the slope of the line passing through given points is $-\frac{3}{4}$.