First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).
Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.
The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.
So the equation is: y = 4/3 x + 2
It will be the last one a×b×b
Answer:
Step-by-step explanation:
5x-4=20
5x=24: x=24/5
y=3x-12
y=3(24/5)-12
y = (72-60)/5
y=12/5
Answer: $1,350
Step-by-step explanation:
45 hours x 10 dollars/hour = 45x10 dollars = 450 dollars/week
450 dollars/week x 3 weeks = 450x3 dollars = 1350 dollars
