Answer:
The slope of line m is 2/3.
Step-by-step explanation:
When both lines are parallel, they will have the same gradient value (slope).
Answer:
the point of interception is (8,3)
Step-by-step explanation:
The x variable represents the number of three point shots made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,3) we can say:
Nicole made 8 three point shots and 3 two point shots.
Answer:
Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that 
; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this: 
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like 
uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression 
means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is .
(If we wanted to, we could also solve this: 
, so 
)
Y = mx + b
slope(m) = -3
(6,-2)...x = 6 and y = -2
sub and find b, the y int
-2 = -3(6) + b
-2 = -18 + b
-2 + 18 = b
16 = b
so ur equation for this line is : y = -3x + 16
(a,7)......so y = 7......" a " is gonna be x
y = -3x + 16
7 = -3x + 16
7 - 16 = -3x
- 9 = -3x
-9/-3 = x
3 = x..........so " a " is gonna be 3 <===
