Complete the equation of the line through (-6,-5)(−6,−5)left parenthesis, minus, 6, comma, minus, 5, right parenthesis and (-4,-4)(−4,−4)left parenthesis, minus, 4, comma, minus, 4, right parenthesis

y = -4.5x - 22

Step-by-step explanation:

The standard form of finding the equation of a line is expressed as y = mx+c

m is the slope

c is the y intercept

Get the slope:

m = y2-y1/x2-x1

Given the coordinates (-6,5) and (-4,-4)

m = -4-5/-4+6

m = -9/2

m = -4.5

Get the y-intercept

Substitute (-4,-4) and m = -4.5 into y = mx+c

-4 = -4.5(-4) + c

-4 = 18 + c

c = -4-18

c = -22

Get the required equation:

Recall that: y = mx+c

y = -4.5x - 22

Hence the required equation is y = -4.5x - 22

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