Question

HELPPP PLEASEEE

what is the slope of the line that contains the points ( -3 -7/2) and (2,-4)?

Answer 1

-1/10

Explanation:

Slope:

`\sf (-3 , (-7)/(2)) \ ; \ x_1 = -3 ; \ ; y_1=(-7)/(2)`

`\sf (2 , -4) ; \ x_2 = 2 \ ; \ y_2 = -4`

`\sf \boxed{slope = (y_2-y_1)/(x_2-x_1)}`

`= (-4-[-(7)/(2)])/(2-[-3])\\\\\\= (-4+ (7)/(2))/(2+3)\\\\`

`\sf = ( (-4*2)/(1*2)+ (7)/(2))/(5)\\\\\\= ( (-8+7)/(2))/(5)\\\\\\= ( (-1)/(2))/(5)\\\\= (-1)/(2*5)\\\\\\= (-1)/(10)`