Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation:
which is essentially
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
that's the rate of change
Answer:
15
Step-by-step explanation:
If A||B then the sum of given angles must be equal to 180°
2x + 5 + 5x - 80 = 180 add like terms
7x - 75 = 180 subtract 75 from both sides
7x = 105 divide both sides by 7
x = 15
Step-by-step explanation:
point slope formula: y-y1=m(x-x1)
m= y2-y1/x2-x1
input numbers
so slope:
m=(9--8)/(-7--8)
(-)×(-)=+
(+)×(-)=(-)
so m=17/1
m=17
now point slope
y--8=17(x--8)
y+8=17x+136
to get y alone we have to use opposite operations
y and 8 are adding so we need to subtract on both sides
y+8-8=17x+136-8
y=17x+128
2 ways
zero product property
easy way
zero product
factor perfect square
m^2-3^2=0
(m-3)(m+3)=0
set each to zero
m-3=0
x=3
m+3=0
m=-3
m=-3 or 3
easy way
add 9 to both sides
m^2=9
sqrt both sides remember to take postive and negative roots
m=+/-3
m=-3 or 3
B is answer
Answer:
y = 13x + 86
Step-by-step explanation:
y−8 =13(x+6); distribute the 13
y - 8 = 13x + 78; now add 8 to both sides
y = 13x + 86; this is the slope intercept form