Question

What is the slope of the line passing through the following points: # (5, 9) , (-4, 5) #?

Answer 1

The slope is `4/9`.'

Here's how I did it:

Explanation:

The formula for slope is `("change in y")/("change in x")`, or `(y_2-y_1)/(x_2-x_1)`.

Since we have the values of two points, `(5, 9)` and `(-4, 5)`, we can plug them into the formula and solve for the slope:
`(5-9)/(-4-5)`

And now we simplify:
`(-4)/(-9)`

`4/9`

The slope is `4/9`.

Hope this helps!

Answer 2

`"slope "=4/9`

Explanation:

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

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

`"let "(x_1,y_1)=(5,9)" and "(x_2,y_2)=(-4,5)`

`rArrm=(5-9)/(-4-5)=(-4)/(-9)=4/9`