What is the slope of the line
2 answers:
Answer:
-2
Step-by-step explanation:
First, pick two points on the line; I am using (0, -1) and (-2, 3). Put it into point-slope form, like this: . Solve to get
, or -2. This is your slope. Another way to find it is to find one point on the line and count how many points it is up or down from the first point, in this case that number is 4, and how many to the right or left, which in this case is 2 to the left. Moving left is negative, so it becomes -2.
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Answer:
y = x + 4
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 =
with (x₁, y₁ ) = (- 6, - 4) and (x₂, y₂ ) = (3, 8)
m = =
=
=
, then
y = x + c ← is the partial equation
To find substitute either of the 2 points into the partial equation
Using (3, 8 ) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y = x + 4 ← equation of line
Answer:
Step-by-step explanation:
From the problem statement, we can create the following equation:
where is the age of James,
is the age of Paul, and
is the age of Dan.
From the first part of the second sentence, we can set up the following equation:
From the last part of the second sentence, we can set up the following equation:
We can substitute the second equation into the last one to get the following:
We can then substitute the last two equations in the first to solve for :
Plugging this into the other two equations will give us the remaining ages: