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What is the equation of the line that passes through the point (6,8) and has a slope of -2/3 ?

1 Answer

6 votes

Answer:

y= -2/3x+12

Explanation:

Since you know slope is -2/3 you can substitute that for the m in y=mx+b. You are also given cordinate points which you can plug into the equation which now gives you 8=-2/3(6)+b. From here you can distribute -2/3 to 6 which gives you -12/3 which can be simplified into -4. You are left with 8=-4+b, move -4 to the other side to find b, you add it to both sides. Now you have 12=b. Write your equation by plugging in the slope and y=intercept. y=-2/3x+12.

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