Using the following values, create an equation in point slope form. In other words, given the values below, for a formula that looks like `(y - y_{1}) = m(x - x_{1})`

, what are the values of `x_{1}`

, `y_{1}`

, and `m`

?

`x_{1}=\color{#b22222}{`

`X1`},\quad f(x_{1})=\color{#b22222}{`Y1`}.`x_{2}=\color{#4169E1}{`

`X2`},\quad f(x_{2})\text{ } = \color{#4169E1}{`Y2`}.

`(y - \space`

`) = \space`

`(x - \space`

`)`

you may enter integers, reduced fractions or exact decimals for each term

pay attention to the sign of each number you enter to be sure the entire equation is correct

`f(x)`

is just a fancy term for `y`

. So one point is `(\color{#b22222}{`

.`X1`}, \color{#b22222}{`Y1`})

The formula to find the slope is: `m = (y_{1} - y_{2}) / (x_{1} - x_{2})`

.

So, by plugging in the numbers, we get `\displaystyle {} \frac{\color{#b22222}{`

=`Y1`} - \color{#4169E1}{`Y2`}}{\color{#b22222}{`X1`} - \color{#4169E1}{`X2`}}`\color{#68228B}{`

`fractionReduce(Y1 - Y2, X1 - X2)`}

Select one of the points to substitute for `x_{1}`

and `y_{1}`

in the point slope formula. The solution is then either:

`(y - \color{#b22222}{`

`Y1`}) = \color{#68228B}{`fractionReduce(Y1 - Y2, X1 - X2)`}(x - \color{#b22222}{`X1`})

OR

`(y - \color{#4169E1}{`

`Y2`}) = \color{#68228B}{`fractionReduce(Y1 - Y2, X1 - X2)`}(x - \color{#4169E1}{`X2`})

A line passes through both `(\color{#b22222}{`

and `X1`}, \color{#b22222}{`Y1`})`(\color{#4169E1}{`

. Express the equation of the line in point slope form.`X2`}, \color{#4169E1}{`Y2`})

`(y - \space`

`) = \space`

`(x - \space`

`)`

you may enter integers, reduced fractions or exact decimals for each term

pay attention to the sign of each number you enter to be sure the entire equation is correct

The formula to find the slope is: `m = (y_{1} - y_{2}) / (x_{1} - x_{2})`

.

So, by plugging in the numbers, we get `\displaystyle {} \frac{\color{#b22222}{`

`Y1`} - \color{#4169E1}{`Y2`}}{\color{#b22222}{`X1`} - \color{#4169E1}{`X2`}} = \color{#68228B}{`fractionReduce(Y1 - Y2, X1 - X2)`}

Select one of the points to substitute for `x_{1}`

and `y_{1}`

in the point slope formula. The solution then becomes either:

`(y - \color{#b22222}{`

`Y1`}) = \color{#68228B}{`fractionReduce(Y1 - Y2, X1 - X2)`}(x - \color{#b22222}{`X1`})

OR

`(y - \color{#4169E1}{`

`Y2`}) = \color{#68228B}{`fractionReduce(Y1 - Y2, X1 - X2)`}(x - \color{#4169E1}{`X2`})

The slope of a line is `\color{#68228B}{`

and the y-intercept is `fractionReduce(Y1 - Y2, X1 - X2)`}`\color{#4169E1}{`

. Express the equation of the line in point slope form.`Y1`}

`(y - \space`

`) = \space`

`(x - \space`

`)`

you may enter integers, reduced fractions, or rounded decimals for each term

pay attention to the sign of each number you enter to be sure the entire equation is correct

The y-intercept is the value of `y`

when `x = 0`

, so it defines a point you can use:`\quad(\color{#b22222}{`

.`X1`}, \color{#b22222}{`Y1`})

An equation in point slope form looks like: `(y - y_{1}) = m(x - x_{1})`

Thus, the solution in point slope form can be written as:`(y - \color{#b22222}{`

`Y1`}) = \color{#68228B}{`fractionReduce(Y1 - Y2, X1 - X2)`}(x - \color{#b22222}{`X1`})