What is the equation for the line
1 answer:
The model equation for any line is
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).
The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope =
,
where the two points are (x1, y1) and (x2, y2).
Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is
Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.
The equation is y = -4x + 5
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).
The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope =
where the two points are (x1, y1) and (x2, y2).
Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is
Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.
The equation is y = -4x + 5
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Cost price:-
- Commision=$6
- Total sold price=815+6=823$
Now
Return=823-700=123
Rate of return
Answer:
You should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Step-by-step explanation:
Using the formula
where
I = Interest earned
P = The principal (let say in $)
r = The Interest Rate
t = time
Given that
- I = $100
- r = 5%
- t = 12 month = 1 year
- P = The principal amount needed to invest (let say in $)
Thus,
100 = P × 5% × 1
100 = P × 5/100 × 1
100 × 100 = P × 5
10000 = P × 5
P = 10000/5
= 2000 (let say in $)
Thus, you should invest $2000 at 5% simple interest in order to earn $100 interest in 12 months.
Answer:
A(4,-5) ; B(4,3)
distance d(A,B) = = 8