Answer:
The equation is y = -3x.
The function is linear.
The point (2, -6) is on the graph of the function.
Step-by-step explanation:
<u>The function is linear.</u>
direct variation function is always linear. and linear means a straight line which is true in this case
<u>The equation is y = -3x.</u>
equation of line is y=mx+c
where, m=slope= -3.
it is linear so we are assuming it passes origin, (0,0).
m=(y2-y1)/(x2-x1)
now substituting m=-3 and (0,0) in x1 and y1.
-3=(y2-0)/(x2-0)
-3=y2/x2
y2=-3*x2
where y2=y, x2=x,
therefore,
y=-3x.
<u>The point (2, -6) is on the graph of the function</u>.
now,
y=-3x
substituting x=2,
y=-3(2)
y=-6
therefore,
if x=2, y=-6, (2,-6)
y = 
x + 5
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (6, 16 ) and (x₂, y₂ ) = (0, 5 )
m = 
= 
=
the y-intercept = (0, 5 ) ⇒ c = 5
y = x + 5 ← in slope-intercept form
Answer:1 cup=6 lemonade
X cups= 24 lemonade
Therefore;
x=24/6 × 1 = 4 cups.
Therefore four cups a
Step-by-step explanation:
Cosine is co added onto sine. Basically, cosine is the sine function moved over 90degrees or pi/2 (pi/2 on a unit circle is 90 degrees)
Sin(x)=cos(x+90) <--degrees
Sin(x)=cos(x+pi/2) <--radians
The above two equations for converting them is called a cofunction identity. There's many more identities to convert sines, cosines, tangents, cosecantes, secantes, and cotangents between each other. This is taught to you in PreCalculus.
