Answer:

Step-by-step explanation:
Use the <u>Slope Formula</u> to determine the slope of two given points:

First Point: 
Second Point: 
-Substitute both points:
First Point: 
Second Point: 

-Solve for the slope:



Therefore, the slope is 
Answer:
-3 < x ≤ 6
Step-by-step explanation:
Left side is exclusive, right side is inclusive, hence the < and ≤, respectively.
Answer:
y =
x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 1)
m =
= 
Note the line crosses the y- axis at (0, 1) ⇒ c = 1
y =
x + 1 ← equation of line
Answer:
840 courses
Step-by-step explanation:
One third of the people ate a two course meal: 105 people ate two course meals.
Two thirds of the people ate a three course meal: 210 people ate three course meals.
105X2 + 210X3 = 210 + 630 = 840 courses