Determine does this point lie on the line, Mathematics

Assignment Help:

Does this Point Lie on The Line?

How do you know if a point lies on a given line? For example, does the point (1, 2) lie on the line 3x + y = 7? If you graph the line and the point on the same grid, you will see that the point does not lie on the line.

1779_Does this Point Lie on The Line.png

There are two ways to check if a point lies on a line:
1) Graph the line and the point as we did above; or
2) Use algebra to check if the point satisfies the equation of the line.

Example 1: Does the point (5, -3) lie on the line (y + 1) = 2(x - 6)? Do not use graphing.

404_left hand site.png

Solution: Since every point on the line (y + 1) = 2(x - 6) must satisfy this equation, you can just substitute the values (5, -3) into the equation to check if the point lies on the line.

Since the left hand side of the equation equals the right hand side, the point (5, -3) lies on the line y = 2x - 13.

Example 2: The local used record store is having a sale. You pay $15.00 for the first CD and only $5.00 for every additional CD. The sale can be represented by the line y = 5x + 10, where x is the number of CDs you bought and y is the amount of money you spent. Your friend Joey says that you can buy 15 CDs with $75. Is he right?

2063_right hand site.png

Solution: Joey says that you can get 15 CDs for $75. Since x is the number of CDs and y is the cost, Joey is also saying that the point (15, 75) lies on the line y = 5x + 10. Does it?

Since the left hand side of the equation does not equal the right hand side, the point (15, 75) isn't on the line y = 5x + 10. Your friend Joey is wrong. You need to pay $85 to get 15 CDs. How many CDs can you buy for $75?


Related Discussions:- Determine does this point lie on the line

Levels of significance - rejection and acceptance regions, Levels of signif...

Levels of significance A level of significance is a probability value which is utilized when conducting tests of hypothesis. A level of significance is mostly the probability

Show frequency tables, Q. Show Frequency Tables? Ans. A frequency ...

Q. Show Frequency Tables? Ans. A frequency table is used to show how often a piece of data occurs. Example: Michelle decides to keep track of the number of phone call

Divison, what is 24 diveded by 3

what is 24 diveded by 3

Matrix, how to find eigen value for the given matrix 122 021 -122

how to find eigen value for the given matrix 122 021 -122

Jamal, jamal works every morning in his garden. yesterday he worked 3 AND 3...

jamal works every morning in his garden. yesterday he worked 3 AND 3-4HOURS. HE SPENT 1-3 OF THE TIME PULLING WEEDS. HOW MANY HOURS DID JAMAL SPEND PULLING WEEDS?

#title.square footage, The area of a rectangular yard is 480 square feet. T...

The area of a rectangular yard is 480 square feet. The yard is 24 feet wide. How many feet do I need to fence all four sides?

Determine the properties and query are definable in datalog, We now focus o...

We now focus on the use of Datalog for defining properties and queries m graphs. (a) Suppose that P is some property of graphs definable in Datalog. Show drat P is preserved und

Derivatives to physical systems, Derivatives to Physical Systems: A st...

Derivatives to Physical Systems: A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet p

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd