Question

What is the equation for the blue line?

Answer 1

Answer:

f(x) = -1/2x + 2

Step-by-step explanation:

f(x) = ax + b

x = 0 , y = 2

y = 0 , x = 4

$a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}$

$0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2$

f(x) = -1/2x + 2

Answer 2

I personally like to start by finding the y intercept first. When x is 0 y is 2

Then to find the actual slope, firstly the line is going in a negative way so the slope is negative. You then do rise over run and you get -1/2


The slope is y=-1/2 +2


Hope this helps!!!!