Question

The points ​(12​,22​) and ​(36​,66​) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

Answer 1

The slope of the line that runs through points ​(12​,22​) and ​(36​,66​). The graph of it's equation, y = 11/6x is shown below.

How to graph a line with points?

To find the slope of the line passing through two points
`(x_1, y_1)` and
`(x_2, y_2)`, you can use the formula:

`\text{Slope} = (y_2 - y_1)/(x_2 - x_1)`

Let's denote the points as follows:

`(x_1, y_1) = (12, 22)` and
`(x_2, y_2) = (36, 66)`.

Now, plug the values into the formula:

Slope = (66 - 22) / (36 - 12)

Slope = 44/24

Reduce the fraction:

Slope (m) = 11/6

So, the equation of the line that represents this proportional relationship is y = 11/6x. The graph of this equation is graphed below in the attachment.