Question

Can u help me pls? Thanks

Answer 1

Answer:

D ; y = (4/3)x + 2

Step-by-step explanation:

The general form of the equation of a straight line is;

y = mx + b

where m is the slope and b is the y-intercept

Now, let us represent the given equation in this general form

We have this as;

4y= -3x + 12

divide through by 4

y = -3/4x + 3

Now, the slope of this equation is -3/4

Mathematically, when two lines are perpendicular, the product of their slopes is -1

let us have the slope of the second equation as m2

-3/4 * m2 = -1

-3m2 = 4 * -1

m2 = -4/-3

m2 = 4/3

so, the equation that is perpendicular will have its slope as 4/3

Looking through the options given as we have the equations in the general form, the equation D is the correct answer

D ; y = (4/3)x + 2