Question

What is the equation in point slope form of the line that passes through the point (3, 1) and has a slope of –2?

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Answer 1

y = -2x + 7

Explanation:

• you can use y–y1=m(x–x1) but I just plug straight into y=mx+b and solve from their (much simpler)
• so plugging the numbers in y=mx+b it will become 1 = -2(3) + b
• simplify so 1 = -6 +b or b – 6 = 1
• add six to both sides to get b=7
• slope or m is -2 and b or y-intercept is 7
• y= -2x+7