What Is The Equation Of The Line That Passes Through (5, -2) And (-3, 4)?

What is the equation of the line that passes through (5, -2) and (-3, 4)?

 

Answer:

y=-\frac{3}{4}x+\frac{7}{4}

Solution:

(5, -2) (-3, 4)

y-y1=\frac{y2-y1}{x2-x1}(x-x1)

y-(-2)=\frac{4-(-2)}{-3-5}(x-5)

y+2=-\frac{6}{8} (x-5)

y=-\frac{6}{8}x+30/8-2

y=-\frac{6}{8}x+30/8-16/8

y=-\frac{6}{8}x+14/8

y=-\frac{3}{4}x+\frac{7}{4}


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