Standard form is ax+by=c
first we use
y-y1=m(x-x1)
a point is (x1,y1)
the slope is m
the slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
given
(1,1) and (3,4)
slope=(4-1)/(3-1)=3/2
a oint is (1,1) and slope is 3/2
y-1=3/2(x-1)
y-1=3/2x-3/2
solve for ax+by=c form, a is normally positive and a and b and c are whole numbers
times 2 both sides
2y-2=3x-3
minus 2y
-2=3x-2y-3
add 3
1=3x-2y
3x-2y=2
Given :
An online store sells only two types of bandanas: cotton bandanas and silk bandanas. Cotton bandanas cost $7 each, and silk bandanas cost $11 each.
Mrs. Tran spent a total of $93 on bandanas at this store.
To Find :
How many cotton bandanas did Mrs. Tran buy.
Solution :
Let, number of cotton and silk bandanas buys are x and y respectively.
So, 7x + 11y = 93
x = (93 - 11y)/ 7
Putting y = 1 , x = 82/7 ( not possible since x can only be positive integer )
Putting y = 4 , x = 7
Therefore, Mrs . Tran will buy 7 cotton bandanas.
Hence, this is the required solution.
Answer:

Step-by-step explanation:

(1, 3) ⇒ x₁ = 1, y₁ = 3
(7, 2) ⇒ x₂ = 7, y₂ = 2
So the slope:

Answer:
-8/1
Step-by-step explanation:
Perpendicular lines have opposite slopes., meaning the signs are opposite, and the numerator and denominator are flipped.
Here's another example:
If line a had a slope of 4/5, line b would have a slope of -5/4, if the lines are perpendicular.
We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:

Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:

On plotting the series, the result will be like this: