Answer:
y = - 
x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (4, - 3)
m = 
= 
= - , thus
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 2, 0 ), then
0 = 1 + b ⇒ b = 0 - 1 = - 1
y = - x - 1 ← in slope- intercept form
they are the same. they are = (equal)
Answer:
25%
Step-by-step explanation:
Okay, so there are nickels and pennies in this jar.
So, let's call the number of pennies X
Since there are 161 coins altogether, the number of nickels is (161 - X)
So now we solve the equation:
.01X + .05(161 - X) = 3.09
.01X + 8.05 - .05X = 3. 09
4.96 = .04X
124 = X
So, there are 124 pennies
Therefore, there are 161 - 124 = 37 nickels
Let's check our answer:
124 x .01 + 37x .05 = 1.24 + 1.85 = 3.09
It works!
