👤

I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?


0.35

0.05

0.015

3.0

500


In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?


y = - 2/3x + 3

y = -3/2x - 1

y = 2/3x - 1

y = 3/2x + 2

y = 2/3x + 1

Answer :

a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.

b. 2y = 3x + 1

y = 3x/2 + 1/2

Perpendicular = negative reciprocal of original function's slope.

3/2 -> -2/3x.

Only the first one fulfills the equation, thus:

-2/3x + 3.