Mathematics: What is an equation in slope intercept form of a line that passes through points (0,5) and (4,0)

What is the question as I think those are answer choices?...

What is an equation in slope intercept form of a

shymitch32

03.02.2022

$m=\frac{y_2-y_1}{x_2-x_1}\\ m=\frac{0-5}{4-0} \\m=\frac{-5}{4} \\m=-\frac{5}{4}$

Therefore the slope is m = -5/4

Find the equation

Let y=mx+b where m is slope and b is y-intercept.

Substitute m = -5/4 in the equation,

$y=-\frac{5}{4}x+b$

Substitute any ordered pairs that are given. I'll use (4,0) instead.

Substitute y = 0 and x = 4

$0=-\frac{5}{4}(4)+b\\ 0=-5+b\\5=b\\$

Thus, the y-intercept is 5 (b is 5)

Therefore, the equation is $y=-\frac{5}{4}x+5$ #

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