How do you find the slope given (9,3) and (4,2)?

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Answer 1 · 2018-05-15T15:22:10

See a solution process below:

The formula for find the slope of a line is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))$

Where $(x_{1}, y_{1})$ $(color(blue)(x_1), color(blue)(y_1))$ and $(x_{2}, y_{2})$ $(color(red)(x_2), color(red)(y_2))$ are two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{2 - 3}{4 - 9} = \frac{- 1}{- 5} = \frac{1}{5}$ $m = (color(red)(2) - color(blue)(3))/(color(red)(4) - color(blue)(9)) = (-1)/-5 = 1/5$

Answer 2 · 2018-05-15T15:23:28

$m$ $m$ = $\frac{1}{5}$ $1/5$

When given two points, use this equation to find the slope:

$\frac{Y_{2} - Y_{1}}{X_{2} - X_{1}}$ $(Y_2 - Y_1)/(X_2 - X_1)$ = $m$ $m$ , the slope

Your ordered pairs will be labeled as the $y$ $y$ 's and $x$ $x$ 's in order to plug it into this equation. Let's label them:

$(9, 3)$ $(9, 3)$ $(X_{1}, Y_{1})$ $(X_1, Y_1)$
$(4, 2)$ $(4, 2)$ $(X_{2}, Y_{2})$ $(X_2, Y_2)$

Now, plug your variables into the equation. Use what you've labeled as a reference.

$\frac{2 - 3}{4 - 9}$ $(2 - 3)/(4 - 9)$ = $m$ $m$

Subtract and simplify.

$\frac{- 1}{- 5}$ $(-1)/(-5)$ = $m$ $m$

Because two negatives create a positive, the slope becomes $\frac{1}{5}$ $1/5$ .
Therefore, $m$ $m$ = $\frac{1}{5}$ $1/5$ .