Answer: m = 1/2
Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.
So divide both sides by 2 to get y = 1/2x - 4.
Now the slope is the coefficient of the x term which is 1/2.
This is a positive slope.
Answer: x=2π/3 and x=4π/3
Step-by-step explanation:
The equation we have is
. All we have to do is get cosine alone to find the 2 values of x.

Now that we have our cosine left, we can use our unit circle to figure out when does cosx=-1/2. Cosine is the x value of the coordinate.
x=2π/3
x=4π/3
Answer:
g =6/5 g=-5/2
Step-by-step explanation:
(5g − 6)(2g + 5) = 0
Using the zero product property
(5g − 6) =0 (2g + 5) = 0
5g-6+6 =0+6 2g+5-5=0-5
5g =6 2g =-5
5g/5 = 6/5 2g/2 =-5/2
g =6/5 g=-5/2
Answer:
14
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(8 + 20) / (5 - 3)
28 / 2
= 14
So, the slope is 14.