(a) Find the equation of the line containing the first and the last data points.

Question

For the data given​ below, answer parts ​(a) through

​(d).

x	4	5	6	7	8	9	10
y	3	5	6	9	11	13	15

Answer 1

We are working with 2 points (4,3) and (10,15).

Use these two points to find the slope of the line. m = (y₂-y₁)/(x₂-x₁).

m = (15-3)/(10-4) = 12/6=2

Next use the point-slope form of the equation of a line. y-y₁=m(x-x₁)

You can use either point as your (x₁,y₁). I will use (4,3).

y-3 = 2(x-4)

If you need this equation in slope intercept form, distribute the 2 on the right.

y-3 = 2x-8

and then add 3 to both sides

y = 2x-5

If you need to show the equation in standard form, subtract 2x from both sides

-2x+y=-5

then multiple all terms by -1

2x-y=5