what is the function for these coordinates-
(1,6) (2,8) (3,10) and (4,12)?

Question

what is the function for these coordinates-
(1,6) (2,8) (3,10) and (4,12)?

518nad · Answer

hey how is the x changing and how is the y changing

legendofmath · Answer

x is being added by 1? and y is being added by 2?

legendofmath · Answer

PLEASE HELP MEEEE

color · Answer

y=2x+4

legendofmath · Answer

that doesnt work work

legendofmath · Answer

sike

legendofmath · Answer

im so dumb sorry

color · Answer

those points lie on a straight line=hint

phi · Answer

*** x is being added by 1? and y is being added by 2? ***

yes, that is good.  Next, you have to remember when you see a "constant difference"
i.e. when x goes up 1, the y always goes up by 2
that is a *line*
(if you plotted the points, you would see this... so if you get stuck, think about plotting the points)

Once you have the idea it's a line, write down the formula for the equation of a line
y = m x + b

Now find the slope (i.e. "m")  by finding change in y divided by change in x.  Here, the "change in y" is how much it changes i.e. 2, and the change in x is 1
so the slope is 2/1  or just 2

the equation is (replace m with 2)
y = 2 x + b
to find "b", using any point on the line, for example (1,6) which means when x=1, y=6. Use those numbers:
6 = 2*1 + b
6 = 2 + b
add -2 to both sides to get
6-2 = 2-2 + b
or
4= b

finally, we have
y = 2x + 4  
once we replace the "b" with its value

that is the equation of the points.

naka354 · Answer

Let y = ax + b
When x = 1 => 6 = a + b
x = 2 => 8 = 2a + b
We can get  a = 8 - 6 = 2, so  y = 2x + b. 
Substitute  x = 1 to  y = 2x + b  at coordinate (1,6). 
6 = 2 + b
b = 4
We can conclude that the equation is
y = 2x + 4