Question

Use the slope formula to find the slope of the line that passes through the points ( − 4 , 9 ) and ( 1 , − 10 ) .

The slope is: m= ?

Answer 1

Answer:
`\displaystyle \boldsymbol{(-19)/(5)}`

Another way to write the fraction is to say -19/5

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Work Shown

`(x_1,y_1) = (-4,9) \text{ and } (x_2,y_2) = (1,-10)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (-10 - 9)/(1 - (-4))\\\\m = (-10 - 9)/(1 + 4)\\\\m = (-19)/(5)\\\\`

The slope is -19/5

It means rise = -19 and run = 5

In other words we go down 19 each time we move to the right 5 units.