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

HELP, WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

WHAT TWO SIX DIDGIT NUMBERS CAN YOU ADD 984,357

How would the society be strengthened, All things considered, in a sense of...

All things considered, in a sense of ethnicity (a sense of identification with and loyalty to one's group) good or bad? is it harmful or helpful? What would be lost if Americans lo

Decimals, how will the decimal point move when 245.398 is multiplied by 10

how will the decimal point move when 245.398 is multiplied by 10

In terms of x what is the total number of miles they rode, Noel rode 3x mil...

Noel rode 3x miles on his bike and Jamie rode 5x miles on hers. In terms of x, what is the total number of miles they rode? The terms 3x and 5x are such as terms since they hav

Algebra, Solve 2x^2 + 5x + 36

Solve 2x^2 + 5x + 36

Assisnment, How a student of mathematics of b.sc can make an assignment on...

How a student of mathematics of b.sc can make an assignment on topic of asymptotes?

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