Question

Which linear function has a negative slope, f(x) or g(x)? ​

Answer 1

f(x)

Explanation:

f(x) = -x + 4

Slope of f(x): -1 (negative)

Slope of g(x):

Slope: (-1 - -3)/(-1 - -2)

Slope = 2/1 = 2 (positive)

Answer 2

f(x) is negative and g(x) is positive

Explanation:

f(x) = 4-x

Rewriting

f(x) = -x+4

We recognize this as

y= mx+b or the representation of a line with slope -1 and y intercept 4

f(x) is linear

g(x) as we increase x by 1 we increase g(x) by 2

The slope is 2, and the y intercept is 1

y = 2x+1

Lets check a point

(2,5)

5 = 2(2)+1

5=5 so we are correct

f(x) is negative and g(x) is positive