For these equations, we are going to use the slope formula, as defined below (
is slope and
and
are coordinate points):

We can simply "plug in" the coordinates we are given:


Our answers are:


Step-by-step explanation:
<h3>8(16)+8(6)</h3><h3>=128+48</h3><h3>=176</h3>
Answer:
24
Step-by-step explanation:
If we say there are 5x maple trees there are 3x oak trees. We know there 6 more maple than oak so we can say 5x = 3x + 6. This means 2x = 6 so x = 3.
This means there are 5*3=15 maple trees and 3*3=9 oak trees so there are 15+9=24 in total.
Answer:
y + 5 = 2(x - 3)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, -5)
Slope <em>m</em> = 2
<u>Step 2: Write equation</u>
<em>Substitute in variables into the general form.</em>
y + 5 = 2(x - 3)
Answer: 5 years
14,800 students enrolled
Step-by-step explanation:
Let x represent the number of years and
Let y represent the number of students enrolled
College A: y = 12,300 + 500x
College B: y = 18,550 - 750x
Use substitution Method to solve:
12,300 + 500x = 18,550 - 750x
+750x +750x
12,300 + 1250x = 18,550
-12,300 -12,300
1250x = 6250
x = 5
Input x = 5 into one of the equations to solve for y.
y = 12,300 + 500x
= 12,300 + 500(5)
= 12,300 + 2500
= 14,800
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