What is the slope-intercept form of the line passing through $(6, 1)$ $(6, 1)$ and $(4, 5)$ $(4, 5)$ ?

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What is the slope-intercept form of the line passing through $(6, 1)$ $(6, 1)$ and $(4, 5)$ $(4, 5)$ ?

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Answer 1 · 2018-03-21T19:46:41

$y = - 2 x + 13$ $y=-2x+13$

Explanation:

Slope-intercept form: y=mx+b, where m is the slope and b is the y-intercept

Finding the slope using 2 points:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} \to$ $(y_2-y_1)/(x_2-x_1) rarr$ Divide the difference of the y coordinates by the difference of the x coordinates

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

$\frac{4}{- 2}$ $4/-2$

$- 2 \to$ $-2 rarr$ This is the slope.

Our equation is currently $y = - 2 x + b$ $y=-2x+b$

To find b, let's plug in one of the coordinates.

$1 = - 2 \cdot 6 + b$ $1=-2*6+b$

$1 = - 12 + b$ $1=-12+b$

$b = 13$ $b=13$

Our equation is: $y = - 2 x + 13$ $y=-2x+13$

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What is the slope-intercept form of the line passing through $(6, 1)$ $(6, 1)$ and $(4, 5)$ $(4, 5)$ ?

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Explanation:

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What is the slope-intercept form of the line passing through (6,1)(6, 1) and (4,5) (4, 5) ?

1 Answer

Explanation:

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What is the slope-intercept form of the line passing through $(6, 1)$ $(6, 1)$ and $(4, 5)$ $(4, 5)$ ?