what is the y-intercept of the line perpendicular to the line y = 3/4x + 3 that includes the point (3, 1)?

-5/4
3
-13/4
5

answer:

step-by-step explanation:

hello :

the line perpendicular to the line y = 3/4x + 3 is : y = ax+b when : a×3/4=-1

so : a = -4/3

y = -4/3 x +b

now calculate b : this line passes by the point (3, 1) meanes :   1 = -4/3(3)+b

so b= 5   so : y = -4/3 x +5

the y-intercept for this line when x= 0   : y = -4/3(0)+5   y = 5