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!!