Problem 469

Graph the line containing the given pair points and find the slope.

(2,6), (-4,-2)

Find the slope of the line.

m = ?

Solution:-

Equation of line when two points (x1,y1) and (x2,y2) are given

(y-y1)=(y2-y1)* $\frac{(x-x1)}{(x2-x1)}$

(2,6) and (-4,-2)

Put the points in formula

y-6=(-2-6)* $\frac{(x-2)}{(-4-2)}$

y-6=-8 $\frac{(x-2)}{(-6)}$

y-6=4 $\frac{(x-2)}{3}$

do cross multiply

3y-18=4x-8

3y=4x+10

This is the equation of line

And slope=(y2-y1)*(x2-x1)

= $\frac{(-2-6)}{(-4-2)}$

= $\frac{-8}{-6}$

Slope m = $\frac{4}{3}$

Graph