Question

What is the equation of the line for this function? (0,0), (2,1), (4,2), (6,3).

Answer 1

The coordinate set (0, 0), (2, 1), (4, 2), (6, 3) represents a straight line. Since the first point is (0, 0) the y-intercept is 0. Now, lets solve for the slope (we can use any of the four points to solve).

Slope formula: y2-y1/x2-x1

= 2-1/4-1

= 1/2

Now that we know what the slope is, we can write the equation of the line.

Slope intercept form: y = mx + b (m = slope and b = y-intercept)

y = 1/2x

Lets find the exponential equation for the line.

y = ab²

1 = ab²

1/a = ab²/a

1/a = b²

√1/a = √b²

√1/a = b

A graph of the coordinates will be below.

Best of Luck!

Answer 2

Answer:

y=1/2x

Step-by-step explanation:

We need to find the slope of the line

m = (y2-y1)/(x2-x1)

We can use any two of the points since we are told it is a line

   = (3-0)/(6-0)

   =3/6 =1/2

We know that the y intercept is 0  since when x=0, y=0

The slope intercept form of the equation is

y = mx+b  

m=1/2 and b=0

y = 1/2x