3 years ago

Perimeter of a rectangle HELP!

Mathematics

1 answer:

alexdok [17]3 years ago

3 0

All I can say is that your equation is wrong

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A line passes through A(3,7) and B(-4,9) find the value of a if C (a 1) is on the line

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What we need to do first, is to write the equation of the line through points A and B.

the slope of the line through A(3, 7) and B(-4, 9) is

$m= \frac{9-7}{-4-3}= \frac{2}{-7}=- \frac{2}{7}$

the equation of the line is :

$y-7=- \frac{2}{7}(x-3)\\\\y-7=- \frac{2}{7}x+ \frac{6}{7}\\\\y= - \frac{2}{7}x+ \frac{6}{7}+ \frac{49}{7}\\\\y= - \frac{2}{7}x+ \frac{55}{7}$

C(a, 1) is on this line so it must satisfy the equation:

$y= - \frac{2}{7}x+ \frac{55}{7} \\\\1= - \frac{2}{7}a+ \frac{55}{7}\\\\ \frac{2}{7}a= \frac{48}{7}\\\\2a=48\\\\a=24$

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4 years ago

Please help 15 MATH PROBEL

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