Find the slope of the line containing the two points.(0,3),(4,0)Please show work

Accepted Solution

Answer:[tex]m=-\frac{3}{4}[/tex].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.[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,  m = Slope of line,[tex]y_2-y_1[/tex] = Difference between two y-coordinates on the line.[tex]x_2-x_1[/tex] = Difference between two x-coordinates of the same y-coordinates.Let [tex](0,3)=(x_1,y_1)[/tex] and [tex](4,0)=(x_2,y_2)[/tex]Substitute coordinates of the given points in slope formula: [tex]m=\frac{0-3}{4-0}[/tex][tex]m=\frac{-3}{4}[/tex][tex]m=-\frac{3}{4}[/tex]Therefore, the slope of the line passing through given points is [tex]-\frac{3}{4}[/tex].