Question

What would be the missing piece of information given the following information:

Find the equation of the line that passes through the points (2, 6) and (4, 10).

y = 2x + ?

a. 4

b. 2

c. 7

d. 5


OK. let's take this step by step.
y = 2x + ?

Remember the equation of a line is
y = mx + b.

m is the slope (2).
b is the y-intercept, and that is missing in your problem. You need to figure out what the y-intercept is. Do you know how to do that?


Do you understand y = mx + b?
Is this something you have learned?


yes but i don't know how to find the y-intercept.


OK, sorry, there's an easier way...see my other response !!


Here is an easier way:

It passes through point (2,6). So, x is 2 and y is 6. Just plug those into your equation...6 = 2(2) + ?


still don't get it.Do I times both sides by 2?


the equation is

y = 2x + ?

substitute the 6 for the y:

6 = 2x + ?

Then substitute the 2 for the x:

6 = 2(2) + ?

2(2) means "2 times 2" which is 4.

so, 6 = 4 + ?

and the ? is...

2?

Correct!!!!!!

so the equation is...y=2x+2?

yes!!!! good job!!

Answer 1

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