Question 913128
Questions 5 and 6 are most easily managed if you understand Standard Form well enough.


Given point, (-2,4) for number 5 and number 6;


Number 5:
Maintain {{{5x-2y}}} for being parallel as specified.
{{{5x-2y=5(-2)-(2(4))}}}---Just simplify this.


Number 6:
Perpendicular is wanted, so {{{3x-4y}}} for the left member;
{{{3x-4y=3(-2)-4(4)}}}----just simplify.


Number 7:
This simply requires filling in the slope-intercept form.
{{{y=-x/2-3}}}