M is the exponent of z inside parentheses. In expanded form, the exponent of z is 8m, so m is 1/8 of the exponent of z.
The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:

As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:

m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ1
Using the function graph given, it is found that:
When a piece-wise function is given, that is, a function that has <em>multiple definitions</em>, the numeric value at x when the definition changes is given by the closed circle.
- For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.
- For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.
To learn more about the use of graphs to analyze a function, you can take a look at brainly.com/question/21447009
Answer:

Step-by-step explanation:
Let's pretend the empty, white space in the middle is a triangle. A right triangle. then we just use the pythogerean theorem to get the a.

Sina - (cosa)(tanb)/cosa + (sina)(tanb)
sina ≡ (tana)(cosa)
(tana)(cosa) - (cosa)(tanb)/cosa + (tana)(cosa)(tanb)
= cosa(tana - tanb)/cosa(1 + tanatanb)
(cosas cancel out)
= (tana - tanb)/(1 + tanatanb) ≡ tan(a-b)