What is the slope-intercept form of the line passing through $(2, 2)$ and $(-4, 1)$ ?

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Answer 1 · 2018-04-12T23:48:46

$y=1/6x+1 2/3$

Slope-intercept form: $y=mx+b$ , where m represents sleep and b represents the y-intercept

First let's find the slope through two points:

$(y_2-y_1)/(x_2-x_1) rarr$ Plug the points in

$(1-2)/(-4-2)$

$(-1)/(-6)$

Slope is $1/6$

Our current equation is $y=1/6x+b$ . To find b, let's plug in one of the points (I'll use $(2, 2)$ ).

$2=1/6*2+b$

$2=1/3+b$

$b=1 2/3$

Our equation is $color(red)(y=1/6x+1 2/3$

What is the slope-intercept form of the line passing through (2, 2) (2, 2) and (-4, 1) (-4, 1) ?