A line passes through the point (–7, 5) and has a slope of one half Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)

Question

A line passes through the point (–7, 5) and has a slope of one half Which is another point that the line passes through?
(–13, 9)
(–9, 13)
(9, 13)
(13, 9)

welshfella · Answer

Since the slope is 1/2 as the x value increases by 2 the y value increases by 1.

welshfella · Answer

So for an increase in x of 2  the point (-7,5) goes to (-5,6)

welshfella · Answer

And if x decreases by 2 the point goes to (-9,4)

welshfella · Answer

One way to do this would be to subtract the x and y values in (-7,5) from each of the choices If you have the correct choice the the result for the x subtraction will be twice that of the y result.

mathmale · Answer

"A line passes through the point (–7, 5) and has a slope of one half" translates into 

y-5 = m(x-[-7])  (this is the "point-slope formula for the equation of a straight line")

Thus, y=(1/2)(x+7).

Does (9,13) lie on this line?  To answer that, let x=9 in the above equation and calculate y.  If y = 13, then this point lies on the line.  Otherwise, it does not.  Continue ....