Answer:
y = 4x - 12
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 ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)
m = =
= 4 , then
y = 4x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 4), then
4 = 16 + c ⇒ c = 4 - 16 = - 12
y = 4x - 12 ← equation of line
Let
x--------> the amount of gummy candy in pounds
y--------> the amount of jelly beans in pounds
z--------> the amount of hard candy in pounds
we know that
--------> equation
--------> equation
--------> equation
Substitute equation in equation
and equation
----->
------> equation
----->
------> equation
using a graphing tool ------> Solve the system of equations
see the attached figure
the solution is the point
<u>Find the value of x</u>
therefore
<u>the answer is</u>
the amount of gummy candy is
the amount of jelly beans is
the amount of hard candy is
