[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-5}{4-0} \\m=\frac{-5}{4} \\m=-\frac{5}{4}[/tex]
Therefore the slope is m = -5/4
Find the equation
Let [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Substitute m = -5/4 in the equation,
[tex]y=-\frac{5}{4}x+b[/tex]
Substitute any ordered pairs that are given. I'll use (4,0) instead.
Substitute y = 0 and x = 4
[tex]0=-\frac{5}{4}(4)+b\\ 0=-5+b\\5=b\\[/tex]
Thus, the y-intercept is 5 (b is 5)
Therefore, the equation is [tex]y=-\frac{5}{4}x+5[/tex] #
