Question 351636
Hi,
*Note: first find the slope

{{{m= (y[2] - y[1])/(x[2] - x[1])}}}
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(-7,9) and (5,-9)
{{{m= ((-9) - 9)/(5 - (-7))}}}
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{{{m = (-18/12) = (-3/2)}}} negative slope tell us line slopes to the left
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y= mx + b is the slope intercept form of a line, where m is the slope and b the y-intercept
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y = (-3/2)x + b
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substituting one of the points (-7,9) to determine b
9 = (-3/2)*-7 +b
9 - (3/2)*7 = b
18/2 - 21/2 = -3/2 = b
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y = (-3/2)x - 3/2

{{{drawing(300,300, -10, 10, -10, 10,
circle(-7, 9,0.2),
circle(5, -9,0.2),

graph( 300, 300, -10, 10, -10, 10, (-3/2)x+-3/2))}}}