Recall that the slope of a non-vertical line is a measure of the number of units the line rises (or falls) vertically for each unit of horizontal change from left to right. Thus, the slope of a line passing through

P(2, 4)

and

Q(x, f(x))

is given by

Slope = m =

f(x) − 4

x − 2

Question

Answered

Verified Answer :

bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 1 · 2022-07-19T04:05:18-04:00

The Slope of the secant m = 1.

Given that, the slope of the line passing through P(2, 4) and Q ( x, f(x)) can be calculated as slope m = $\frac{f(x)-4}{x+2}$

The formula for slope (m)=rise/run=$\frac{y_{2}- y_{1}}{x_{2}- x_{1}}$

⇒Slope m = $\frac{-4x-x^{2} -4}{x+2}$

⇒Slope m = $\frac{-(x^{2}+4x+4)}{x+2}$

⇒Slope m = $\frac{-(x+2)^{2} }{(x+2)}$

⇒Slope m = -(x+2)

Passing through P(-2,4) and Q(-3,3)

Slope of the secant m = -(x+2)

Slope of the secant m = -(-3 +2)

Slope of the secant m = -( -1)

Therefore, the slope of the secant m=1.

To learn more about the slope visit:

https://brainly.com/question/3605446.

#SPJ2