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In-s [12.5K]
3 years ago
8

Write the point-slope form of the equation of the line that passes through the point

Mathematics
1 answer:
N76 [4]3 years ago
5 0
The Point-slope form of a line is:

(y-y1)=m(x-x1), where m is the slope and (x1,y1) is a point...in this case:

(y-4)=(-1/2)(x+6)
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the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?
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n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
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