Question

A line contains the point (4, 5) and has a slope of -2.
Which point is also on the line?
(5,7)
(6,2)
(5,3)
(4.1)

Answer 1

Answer: (5,3)

Step-by-step explanation:

Substituting into point-slope form, the equation of the line is

$y-5=-2(x-4)$

Which rearranges as follows:

$y-5=-2x+8\\\\y=-2x+13$

To determine if a point lies on a line, you can see if its coordinates satisfy the equation.

Of all the options, only (5,3) works.