Complete the point-slope equation of the line through (6,4) and (7,2) use exact numbers

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (6, 4) and (x₂, y₂ ) = (7, 2)

m = = = - 2

There are 2 possible point- slope equations

Using (a, b) = (6, 4), then

y - 4 = - 2(x - 6)

OR

Using (a, b) = (7, 2), then

y - 2 = - 2(x - 7)

hiking down a winding trail.

step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2