# Whatβs the equation of a line on a graph with points of (3,-3) (-2,2)?

### VERIFIED

### Dr. Badi M

Experienced Academic and dedicated tutor for all levels.

Y=mx*c Sub gives -3=3m+c Also 2=-2m+c Subtract both equations You get 5=-5m So m=-1 Sub into either equation C=0 Therefore y=-x Is equation of the straight line which is very clear from the points coordinates!

### VERIFIED

### Shanice St John

A maths enthusiast who enjoys sharing their knowledge of numbers.

To find the equation of a straight line, we need to find the following information: 1) The gradient (denoted by the symbol, m) 2) The y-intercept (denoted by the symbol, c) To find the gradient of the line, we need to use the following equation: m = (y2 - y1)/(x2 - x1) , where (x1,y1) and (x2,y2) are two given coordinates. Let (x1,y1) = (3,-3) and (x2,y2) = (-2,2). Note that: The values that are assigned to the given coordinates does not make a difference to the answer that be obtained for m. For instance, assigning (x1,y1) as (-2,2) and (x2,y2) as (3,-3) will not change the value of m. Once the values of x1, y1, x2 and y2 are chosen, keep them unchanged throughout the calculation; consistency is key. Now substituting in the values of x1= 3, y1= -3, x2= -2 and y2= 2 into the equation for m (the gradient) yields: m = (y2 - y1)/(x2 - x1) = (2 - -3)/(-2 - 3) = (2 + 3)/(-2 - 3) (- and - make a +) = 5/-5 = -1 Now considering the form of a straight line equation: y = mx + c We know that m = -1 including the coordinates of the two points. To find c (the y-intercept), we can substitute the value of m and any of the two coordinates (as they both lie on the graph of the straight line). Substituting in m = -1 and the coordinates (3,-3), we find the value of c to be: y = mx + c -3 = -1(3) + c -3 = -3 + c (Add β3β to both sides.) -3 + 3 = -3 + 3 + c 0 = 0 + c c = 0 Therefore, the equation of the line passing through points (3,-3) and (-2,2) is: y = (-1)x + 0 y = -x (This is the final answer.) I hope this helps.

### Answers from these tutors

### Asked in General π

ASKED BY TAEGON

GENERAL π#### How many miles are there in 44g of CO2? How many molecules is this?

Assuming you mean moles rather than miles To calculate moles we use the equation moles=mass/Mr We have been given the mass in the question, and we c...

ASKED BY ELLIE

GENERAL π#### How would I describe a photo of a football match with a footballer in spanishπͺπΈπ§‘x?

It depends on what context the image is given to you in and asked if you to describe. For example: If this was to describe what is happening you wou...

ASKED BY TASNIM

GENERAL π#### What are the advantages and disadvantages of Human Rights Act 1998?

Hello Tasnim, this is a good question. Most people would probably say that the Human Rights Act mainly has advantages in that it gives a base line o...

ASKED BY BELAL

GENERAL π#### Ive got maths test tomrrow morning, havnt revised, what do i do?

As a test technique I would advise the first thing you do is flick through the test paper and see what questions you may be ok with, focus on answer...

ASKED BY ABBIE

GENERAL π#### Does endothermic make the solution hot and then exothermic make it cold?

This depends upon the reaction system that you are describing... By definition, endothermic reactions take in energy (ENdo ENters), so the reaction ...

ASKED BY MARIA

GENERAL π#### What type of work experience should I get if I am considering medicine? Any tips?

Get in touch if youβd like some further assistance in securing work experience.

ASKED BY FATMA

GENERAL π#### What happens to the fatty acids and glycerol once absorbed into the epithelium?

These two products of fat digestion, once absorbed by the epithelial cells of the small intestine, are re-formed and into triglycerides whilst insid...

ASKED BY SAMM

GENERAL π#### Explain the relationship between physics and technology?

Briefly Technology is primarily based on Engineering which has its basis on Physics and Maths. So physics is the basic science of understanding natu...

ASKED BY ABIGAIL

GENERAL π#### What are the similarities between the American Revolution and Vietnam war?

Hello Abigail, To start with both wars involved one side trying to use standard war strategies while the other side used the landscape and environme...

ASKED BY TASNIM

GENERAL π#### Why is s.3 and s.4 of HRA significant in terms of challenging parliamentary sovereignty?

s.3 in effect imposes a purposive approach to interpreting legislation - that it should be read in accordance with convention rights. Historically, ...

Find me a tutor

We take your privacy seriously. View our policy.