Question

Jen thought of a rule, and made an in-out table for it. On the coordinate plane, Jen recorded her rule as points, but then she accidentally erased her in-out table almost completely (see below what remains of that table).

Answer 1

y = (1/2)x + 3

Explanation:

The points are separated by 1 vertical unit for each 2 horizontal units, so the slope of the line through them is ...

slope = vertical change / horizontal change = 1/2

There is a point on the y-axis at y=3 where x=0, so we know the y-intercept of the line is 3. Then, in slope-intercept form, the equation of the line can be written ...

y = slope · x + y-intercept

y = (1/2)x + 3

Answer 2

y = (1/2)x + 3

Explanation:

The points are separated by 1 vertical unit for each 2 horizontal units, so the slope of the line through them is ...

slope = vertical change / horizontal change = 1/2

There is a point on the y-axis at y=3 where x=0, so we know the y-intercept of the line is 3. Then, in slope-intercept form, the equation of the line can be written ...

y = slope · x + y-intercept

y = (1/2)x + 3