Perpendicular lines have opposite reciprocals from the original line.
Original line: y=-3/4x+6
Perpendicular line: y=4/3x+b
Solve for b by plugging in the given coordinates (3,9) for x and y respectively.
9=4/3(3)+b
Multiply 4/3*3.
9=4+b
Subtract 4 from both sides.
5=b
Now, with b and the slope, you can write the equation:
y=4/3x+5
I hope this helps :)
Answer:
Step-by-step explanation:
Part A
for f(x) slope between points (-1,-6) and (1,0)
m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3
for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5
The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper
part B
The y intercept for g(x) is (0, -5)
The equation of f(x) can be found
y-y1 =m(x-x1) take any point for example point (1,0)
y-1 =3(x-0)
y=3x+1 so the y-intercept is at (0,1)
The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5
Answer:
The blank would be 64 and the answer would be 16
Step-by-step explanation:
Because we are looking for 25% of something, we simply multiply .25 by whatever that number is. So we start with
.25 * ________
And then we put the number in
.25 * 64 = 16
Answer:
C. 3/5
Step-by-step explanation:
Its the closest to 3/9