Answer:
y = 8/3x - 91/3
*view attached graph*
Step-by-step explanation:
3x +8y =4
-3x -3x
8y = -3x + 4
/8 /8
y = -3/8x + 1/2
Perpendicular lines have reciprocal slopes. So, the slope of -3/8 will now be 8/3
y = mx + b
y = 8/3x + b
-9 = 8/3(8) + b
-9 = 64/3 + b
3(-9 = 64/3 + b)
-27 = 64 + 3b
-64 -64
-91 = 3b
/3 /3
-91/3 = b
y = 8/3x - 91/3
Check your answer using (8, -9):
y = 8/3x - 91/3
-9 = 8/3(8) - 91/3
-9 = 64/3 - 91/3
-9 = -27/3
-9 = -9
This statement is true.
Hope this helps!
Answer:
9
Step-by-step explanation:
A quadratic equation is
The axis of symmetry is 1. This means that some value of
-b/2a =1.
f(0) represent one of the horinzontal roots. Since f(0) equal 0, the constant is 0.
Notice how x=1 is the line of symmetry. This means when x=4 and x=-2, the quadratic is equal. so consider this equation.
=-24
16a+4b= -24
4a-2b=-24
Solve for a by elimination.
2(4a-2b=-24)= 8a-4b=-48
Add both equations.
(16a+4b=-24)+(8a-4b=-48)= 24a=-92
Solve for a.
24a=-92
a=-3
Subsitute to in for b.
16(-3)+4b=-24
-48+4b=-24
4b=24
b=6
This means a=-3
b=6
So b-a is
6+3=9
