Question

Question #181b6

Answer 1

The slope is `10/6`.

Explanation:

In this case, it is quite simple to find the slope of the equation since the equation is already in slope-intercept form. What is slope-intercept form?

`y=color(red)mx+color(blue)b`
where `color(red)m` and `color(blue)b` are both real numbers.

`color(red)m` = slope, and
`color(blue)b` = the `y`-coordinate of the `y`-intercept (in other words, the line intercepts the `y`-axis at the point `(0,color(blue)b)` )

You can now see that the equation in the question is already in this format.

`y=color(red)10/color(red)6x+color(blue)10`

Therefore, m (the slope) is `color(red)10/color(red)6`.