Question

Write an equation in slope-intercept form given the table:

X 0 1 2 3
Y 3 6 9 12

Answer 1

y = 3x + 3

Explanation:

The slope is 3

change in y over the change in x. As the y increases by 3, the x increases by 1.
`(3)/(1)` = 3

Use any of the points from the table to write the equation in the slope intercept form

Let's use the first point (0,3) Any point would give us the same answer.

We will use the x from the point which is 0 and use the y from the point which is 3. We will also use the slope of 3. We will plug all of these into the equation and solve for b or the y-intercept.

y = mx + b

3 = 3(0) + b

3 = 0 + b

3 = b

y = 3x + 3