A line passes through the point (4, –2) and has a slope of One-half.

A coordinate plane.

What is the value of a if the point (–4, a) is also on the line?
A.-6
B.-5
C.5
D.6

1 answer

The "point-slope" form of the equation of a straight line :

y - y1 = m ( x - x1 )

y = m ( x - x1 ) + y1

In this case:

x1 = 4 , y1 = - 2 , m = 1 / 2

y = m ( x - x1 ) + y1

y = 1 / 2 ( x - 4 ) + ( - 2 )

y = 1 / 2 x - 2 - 2

y = 1 / 2 x - 4

For x = - 4

y = 1 / 2 x - 4

y = 1 / 2 ( - 4 ) - 4

y = - 2 - 4

y = - 6
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