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Which equation represents the line that passes through the points -3 7 and 9 -1

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EXPLANATION

Given ordered pairs: (-3,7) and (9,-1)

(x1,y1) (x2,y2)

The equation that represents the line that passes through the points will be given as:

y = mx + b

First, we need to calculate the slope:


\text{Slope = }((y2-y1))/((x2-x1))=((-1-7))/((9-(-3)))=((-8))/((12))=-(2)/(3)

Now, taking either one pair, we can calculate the value of b in this way:


7=-(2)/(3)(-3)\text{ + b}
7=(6)/(3)+b

Simplifying:


7\text{ = }2\text{ + b}

Clearing b:


7-2=5=b

Finally, the equation will be:


y=-(3)/(2)x+5

User Enzo Lizama
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