Question

The ordered pairs (-4,7) and (8,-20) are points on a linear function. Which equation best describes this function?

f(x) = 13/4x - 46
f(x) = -9/4x - 2
f(x) = - 27/4x + 34
f(x) = 9/4x - 38

Answer 1

First using the given points we need to find the slope of the line.


`Slope=m= (Rise)/(Run) \\ \\ m= (-20-7)/(8-(-4))= (-27)/(12)= (-9)/(4)`

So, the slope of the line is -9/4

Using the slope and a point we can write the equation of line in slope-intercept form as:


`y-7=- (9)/(4)(x-(-4)) \\ \\ y= (-9)/(4)x-9+7 \\ \\ y=(-9)/(4)x-2`

So the correct answer to this question is option B