What is the equation in point-slope form of the line given (4,6),(5,7)?

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What is the equation in point-slope form of the line given (4,6),(5,7)?

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Answer 1 · 2018-03-06T05:40:51

$m = 1$ $m=1$

Explanation:

Given -

$(4, 6); (5, 7)$ $(4, 6); (5, 7)$

$x_{1} = 4$ $x_1=4$
$y_{1} = 6$ $y_1=6$
$x_{2} = 5$ $x_2=5$
$y_{2} = 7$ $y_2=7$

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{7 - 6}{5 - 4} = \frac{1}{1} = 1$ $m=(y_2-y_1)/(x_2-x_1)=(7-6)/(5-4)=1/1=1$

$m = 1$ $m=1$

Answer 2 · 2018-03-06T05:44:31

$y - 6 = 1 (x - 4)$ $y - 6 = 1(x-4)$

or

$y - 7 = 1 (x - 5)$ $y - 7 = 1(x - 5)$

Explanation:

Point slope form is essentially:

$y - y_{1} = m (x - x_{1})$ $y - y_1 = m(x - x_1)$

$y_{1}$ $y_1$ and $x_{1}$ $x_1$ are coordinates given to you. They can either be 6 and 4 respectively, or 7 and 5 respectively. Pick your choice.

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

So, plug in coordinates for that.

$\frac{7 - 6}{5 - 4} = \frac{1}{1} = 1 = m$ $(7-6)/(5-4) = 1/1 = 1 = m$

Remember, the plain ol' y and x in the point slope form equation will be the actual variables, since functions need those guys to stick around.

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What is the equation in point-slope form of the line given (4,6),(5,7)?

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