Point slope form of (2,1) and (-1,-4)

1.67

Step-by-step explanation:

Slope = y2 - y1 /x2 - x1

Given

x1 = 2

y1 = 1

x2 = -1

y2 = -4

Slope = -4 - 1 /-1 -2

= -5/-3

= 1.67

y-1=5/3(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-1)/(-1-2)

m=-5/-3

m=5/3

y-y1=m(x-x1)

y-1=5/3(x-2)

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get