Question

How do you find the slope given (7, 2) and (9, 6)?

Answer 1

`2`

Explanation:

Slope is given by the formula

`(Deltay)/(Deltax)`

Where `Delta` is the Greek letter Delta that means "change in". We just have to see how much our `y` changes, how much our `x` changes, and divide the two. We get

`Deltay=6-2=color(blue)(4)`

`Deltax=9-7=color(blue)(2)`

Plugging these into our expression for slope, we get

`4/2=2`

Thus, our slope is `2`.

Hope this helps!

Answer 2

See a solution process below:

Explanation:

The formula for find the slope of a line is:

`m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `(color(blue)(x_1), color(blue)(y_1))` and `(color(red)(x_2), color(red)(y_2))` are two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(6) - color(blue)(2))/(color(red)(9) - color(blue)(7)) = 4/2 = 2`

Answer 3

`"slope "=2`

Explanation:

`"calculate the slope m using the "color(blue)"gradient formula"`

`•color(white)(x)m=(y_2-y_1)/(x_2-x_1)`

`"let "(x_1,y_1)=(7,2)" and "(x_2,y_2)=(9,6)`

`m=(6-2)/(9-7)=4/2=2`