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sineoko [7]
3 years ago
7

Find the equation of the line using the point-slope formula. write the final equation using the slope-intercept form. the x-inte

rcept is 1, and (x, y) = (−2, 15) is a point on the line

Mathematics
1 answer:
Masja [62]3 years ago
7 0
You are given two points on the line: (-2, 15) and (1, 0). (the x-int is where y equals zero)

This allows you to use the slope formula to solve the slope, m. (see first image, first equation in red). The slope is 15.

Then, as in the second picture, plug in the slope and a point into the point slope equation. I used the point (1, 0) but using the other point should yield the same answer.

To change it to slope intercept form, distribute the slope to the numbers in the parentheses and then add/subtract the number on the left side to have y by itself. The answer ended up as y=15x-15

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The table shows how much a store charges for certain numbers of pencils. Number of pencils (p) Cost (c) 4 $0.72 7 $1.26 12 $2.16
Arada [10]
Find the rate of change, (y2-y1)/(x2-x1), from the data given...

(2.16-1.26)/(12-7)=0.18

(1.26-0.72)/(7-4)=0.18

Since the rate is constant, this is a linear equation of the form y=mx+b.  Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...

c(p)=0.18p  (cost with respect to pencils is 0.18 times the number of pencils)
7 0
3 years ago
The point (4,-5) is rotated 90° clockwise
V125BC [204]

Answer:

5,4

Step-by-step explanation:

here is the rule (4,-5) rotate 90 clockwise = (5,4)

4,-5 will put you in the 4 quadrant rotate it 90 clock wise Put you in the first quadrant

6 0
3 years ago
Simplify the expression 43 + 2(3 − 2)
Sonja [21]

Answer:

))))))

Step-by-step explanation:

43+2(3-2)=43+2*3-2*2=43+6-4=45

8 0
3 years ago
Read 2 more answers
Solve (x - 5)2 = 3.O A. x = -51 1/3O B. x = 3 15O C. x = 5+:13O D. x = 8 and x = -2
Virty [35]

In order to solve the given expression follow these steps:

1. Take the square roots on both sides in order to get rid of the power on the left side:

√(x-5)² = ±√3

x - 5 = ±√3

2. add 5 on both sides:

x-5 + 5 = 5 ±√3

x = 5 ±√3

Then, the solution is x = 5 ±√3

6 0
1 year ago
Classify each triangle by its sides.
Free_Kalibri [48]

Answer:

1

Step-by-step explanation:

None of the sides are equal. Isosceles means that 2 sides are equal. Equilateral means that all sides are equal.

3 0
3 years ago
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