Answer:
y = - 2x + 6
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 ) = (1, 4 ) and (x₂, y₂ ) = (2, 2 )
m = 
= 
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 2 ) , then
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = - 2x + 6 ← equation of line
Answer:
Step-by-step explanation:
Here is a problem with the concept of properties of the exponent.
We are given 
and we have to find the value of 5x.
Now, 
{Since we are given that }
⇒ 
{Since we can write 
}
⇒ {Since we know the formula of exponent as 
}
(Answer)
Here’s the answers , it stops at 7 in the picture but here’s 8-9
8. Statement - m<1+m2=m<3+m<1
Reason - substitution property
9. Statement - m<2 = m<3
Reason - subtraction property
10. Statement - <2=<3
Reason - definition of = angles !!
115.2 pounds of type A coffee were used.
<h3>What is the solution of the equation?</h3>
A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of pounds of type A coffee be x and the number of pounds of Type B coffee be y.
According to the question, the equations are,
5.50x + 4.40y = 762.30
x = 4y
So, the solution of the equation is obtained as follows:
5.50(4y) + 4.40y = 762.30
26.40y = 762.30
y = 762.30/26.40
y = 28.8 pounds
x = 4*28.8 = 115.2 pounds
Learn more about equations here:
brainly.com/question/2972832
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