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What is the equation for a line that passes through the points (6,-4) and (-12,26)?

User Noobzie
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Answer: y= -(5/3)x+6

Explanation:

First I want to find the slope fo the line:

Between the points, the x value changes by 18 (-12 to 6) and the y value changes by -30 (26 to -4). To find slope we do rise/run so -30/18 is the slope. Simplified this is (-15/9) = (-5/3)

Next we should find the Y intercept:

The point (-12,26) is 12x away from the Y intercept line. Given the slope of -5/3, we know that for every 3x, the y level decreases by 5. Since 3 goes into 12 4 times, the y level decreases by 5*4 = 20 before it hits the y intercept. The previous y value for the point is 26 so 26-20 = 6. Y intercept is 6.

Plug into y=mx+b

y= -(5/3)x+6

User LorDFaKeR
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