slope = m
"rise" is the number of units you go up(+) or down(-) from each point (y-axis)
"run" is the number of units you go to the right from each point (x-axis)
Lines usually go from left to right, so the point furthest to the left will be the starting point, which is (1, -6). To get from point (1, -6) to (3, 2), you go up 8 units and to the right 2 units, so the slope is 
which simplifies to 4
Slope formula:
Plug in the two points to find the slope
(1, -6) = (x₁, y₁)
(3, 2) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
m = 4
The student is not entirely correct. If the student said "the sum, difference, and product of two integers are always integers", then they would be fully correct. I left out "quotient".
Dividing two integers doesn't always lead to an integer result. For example, 10/7 = 1.43 approximately.
Answer: I know R2 is reflexive property.
Step-by-step explanation:
Answer:
2.8a = 7.4
Step-by-step explanation:
5a² - 85 = 2.2a² - 30
+ 85 = + 85
5a² = 2.2a² +55
- 2.2a² = -2.2a²
2.8a² = 55
√2.8a² = √55
2.8a = 7.4
Answer: x = log₃₇(12)
Step - by - step explanation:
1. Remove the variable from the exponent using logarithms
37^x=12
Take the common logarithm of both sides of the equation:
log₁₀(37^x)=log₁₀12)
Use the log rule: log_a(x^y)=y*log_a(x) to move the exponent outside the logarithm:
x*log₁₀(37)=log₁₀(12)
2. Isolate the x-variable
x*log₁₀(37)=log₁₀(12)
Divide both sides of the equation log₁₀(37) by:
x = log₁₀(12) / log₁₀(37)
Use the formula 
to combine the logarithms into one:
x=log₃₇(12)
Decimal form:
x=0.6881648129099501
Hope this helps!
