Equation of a Straight Line: Point-Slope Form of a Line

Choose the function for a straight line that passes through the point $(-2,-13)$ and is parallel to the line $-4+y=5x-6$.

$y=5x-3$

Straight line passes through the point $(6,14)$ and parallel to the line $x+3y=4x+9$

$y=x+8$

Straight line passes through the point $(-5,12)$ and parallel to the line $5y-5x=15$

$y-x=17$

Straight line passes through the point $(0,1)$ and parallel to the line $2(y+1)=16x$

$y-8x=1$

A line passes through the point $(2,9)$ and is perpendicular to the line $y=-\frac{1}{5}x+3$.

Choose the corresponding function.

$y=5x-1$

Which function represents a straight line that passes through the point $(-3,-15)$ and is perpendicular to the line
$3y=4x-y$?

$y+x=-18$

Which function represents a straight line that passes through the point $(0,0)$ and is perpendicular to the line $y-2x=2y$?

$y=\frac{1}{2}x$

Which function describes a straight line that passes through the point $(7,2)$ and is perpendicular to the line $3y=x+12$?

$y=-3x+23$