Question

Through point (0, 10) and PERPENDICULAR to the line through (-2, -9) and (-4, -17)?

Answer 1

Compute the slope of the line through (-2, -9) and (-4, -17):

$\dfrac{-9-(-17)}{-2-(-4)}=\dfrac82=4$

Any line perpendicular to this line will have slope -1/4. The one that passes through (0, 10) satisifes

$y-10=-\dfrac14(x-0)\implies\boxed{y=10-\dfrac x4}$