When given a table of data related to a straight line, writing the equation of the line in slope-intercept form is very straight forward.

Find the equation matching the table shown below and put it in slope-intercept form.x y

0 1

1 3

2 5

3 7

x y

0 1

1 3

2 5

3 7

(x1, y1)

(x2, y2)

You can use these two points to calculate the slope of the line.

Substitute in values.

Simplify

Slope

Substitute in value for slope and simplify

y-intercept

Substitute in values for a point

Simplify

Substitute in value for y-intercept and simplify

Equation for the line is in slope-intercept form