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Geometry 18 Online
OpenStudy (anonymous):

Write the equation of the line passing through the points (0, -4) and (-2, 2).

OpenStudy (campbell_st):

can you find the slope of the line..?

OpenStudy (anonymous):

3

OpenStudy (anonymous):

Well, there are two options for writing the equation of the line: point-slope form or slope-intercept form. Given that you only know the coordinates of two points, not the y-intercept, the answer should probably be in slope-intercept form

OpenStudy (campbell_st):

is that a guess..?

OpenStudy (anonymous):

no i meant -3

OpenStudy (anonymous):

The formula for slope is change in y coordinates over change in x coordinates @Blondebeauty

OpenStudy (anonymous):

So is my answer for the slope wrong?

OpenStudy (anonymous):

So find the slope: 2-0/-2-4= 2/-6

OpenStudy (anonymous):

Yes it is wrong :( The slope is actually 2/-6

OpenStudy (anonymous):

y2 - y1 / x2 - x1 so 2 -(-4) / -2 - 0 6 / -2

OpenStudy (campbell_st):

well that makes more sense.. you are given the point where the line cuts the y-axis (0,4) so the y intercept is y = -4 the slope intercept form of the line is y = mx + b m = slope, b = y-intercept... just substitute your information for the equation

OpenStudy (anonymous):

oops sorry @Blondebeauty I had a typo, I meant 2-(-4)/-2-0, so the slope is actually 6/-2

OpenStudy (anonymous):

That is correct

OpenStudy (anonymous):

So now that you now the slope, like @campbell_st say, substitute that into the equation

OpenStudy (anonymous):

so would it be y=6/-2x+(-4)?

OpenStudy (anonymous):

know*

OpenStudy (campbell_st):

oh, and the slope is correct... |dw:1431027837950:dw|

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