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Find the slope of the line that passes through (1, 8) and (–3, 12)

please show me the steps

User Xudesheng
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1 Answer

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Answer: m = -1

Explanation:

Because it is indicated that the equation is a line, it will be linear so we can use the equation: y = mx + b. m is the slope and b is the y-intercept.

8 = 1m + b <- substitute (1,8) into the equation y = mx + b

12 = -3m + b <- substitute (-3,12) into the equation y = mx + b

Solve the system of equations by elimination.

8-12 = -4; 1--3m = 4m; b-b=0

-4 = 4m + 0

m = -1

User Shazzad
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