To check whether the order pairs, (1,-5) and (-2,-10), are solutions to the equation, y=4x-9, simply plug in the ordered pair and check.
For the solution: (1,-5)
y=4x-9 => -5=4(1)-9 => -5=4-9 => -5=-5
This equation is TRUE, making the ordered pair, (1,-5) a solution to the equation.
Now for the solution: (-2,-10)
y=4x-9 => -10=4(-2)-9 => -10=-8-9 => -10=-19 => -10≠-19
This equation is FALSE, thus the ordered pair, (-2,-10) is NOT a solution to the given equation.
Hope this helps!