Question

Is anyone able to help me on this?? I need serious help! Thank ya!

Answer 1

Explanation:

Those are coordinate points on a line but they are written in table form.

For the first point, when x=1, y=2 (that's given from the table) but it's a point on the line (1, 2)

The next point (2,4),

(3,6) and so forth.

The format for a line is

y=mx+b (slope-intercept form)

or

`y-y_(1) = m(x-x_(2))` (point-slope form)

They did not give you the y-intercept (that's when x=0) in the chart. You may have been able to figure it out by looking at the pattern but if not we will use the second formula, point slope form, because we know a point from the chart and we can find slope

`slope=m=(y_(2)- y_(1) )/(x_(2)- x_(1) )`

pick any 2 points from the chart to find slope. I will pick (1,2) and (2,4)

`m=(4-2)/(2-1 ) =(2)/(1) =2`

Now that i know slope m=2 and i will pick (1,2) to plug into formula

`y-y_(1) = m(x-x_(2))`

y-2=2(x-1) distribute 2

y-2=2x-2 add 2 to both sides

y=2x

The function is increasing at a rate of 2 and the y-intercept is 0.

Answer 2

The function is f(x)=2x

Explanation:

Since every single y is 2 times x, it will be 2x. This function just doubles whatever x you put in.