Question

A line passes through the point (-2, 7) and has a slope of -5.

What is the value of a if the point (a, 2) is also on the line?
a. -7
b.-1
c.1
D.7

I NEED ANSWERS SOON

Answer 1

`\boxed{a = 3}`

Explanation:

`(using \: the \: points : (2, \: 7) = ( x_(1), \: y_(1)\: \: ) \\ hence : (a, \: 2) = ( x_(2), \: y_(2)\: \: ) \\ but \: m = ( y_(2) -y_(1) )/(x_(2) - x_(1)) = (2 - 7)/(a - 2) \\ - 5 = (2 - 7)/(a - 2) \\ - 5(a - 2) = 2 - 7 \\ - 5a + 10 = 2 - 7 \\ - 5a = - 5 - 10 \\ - 5a = - 15 \\ a = ( - 15)/( - 5) \\ \boxed{a = 3}`