Math, asked by kreshivthakkar, 19 days ago

a straight line passes through two points with co ordinates 6,8 0,5

Answers

Answered by pawankumarsingh73527
0

Step-by-step explanation:

A straight line passes through 0,6 and has a gradient of -2. It intersects the line with equation of 5x-8y-15 at point p. What are the coordinates of P?

A straight line passes through 0,6 and has a gradient of -2. It intersects the line with equation of 5x-8y-15 at point p. What are the coordinates of P?

Repeat after me: 5x−8y−15 IS NOT AN EQUATION!

It’s an expression. It is critically missing anything indicating that there are two values equal to each other.

As such, it is not the equation of a line.

In order to answer your question, I have to guess at what you meant by “the line with equation of 5x−8y−15 ". Two reasonable guesses are that you meant the line with the equation 5x−8y=15 , the line with the equation 5x−8y−15=0 (which is the same line), or the the line with the equation 5x−8y=−15 . In other words, I have guess where the missing equals sign goes.

So, given that, let’s take a look at the straight line you have.

The general equation for a line is ax+by=c , and it has a gradient of −ab . Since your line has a gradient of −2 , we can assume that b=1,a=−2 and work out what an appropriate value for c is. So we have −2x+y=c , and we know that x=0,y=6 is a solution. That gives us −2(0)+6=c , or c=6 . The equation of your line is −2x+y=6 .

So now you have two simultaneous linear equations in two variables. As long as they don’t have the same gradient — as long as they aren’t parallel — there will be a unique solution. That should be easy for you to solve.

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