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Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form

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Answer:

y =6x+17

Explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

= (-7- -1)/(-4 - -3)

= (-7+1)/(-4+3)

-6/-1

6

The slope intercept form of the equation is

y = mx+b where m is the slope and b is the y intercept

y = 6x+b

Substitute a point into the equation

-1 = 6(-3) +b

-1 = -18+b

Add 18 to each side

17 =b

The equation is

y =6x+17

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