Question 442876
The slope of the line -3x-4 is -3.

Lines that are parallel have the same slope.

So the line parallel has slope -3 as well.

When you have a point and a slope, you use POINT-SLOPE form.

Recall {{{y-y[1] = m(x-x[1])}}}

Then  {{{y-7 = -3(x-(-1)) }}}
{{{ y-7 = -3(x+1)}}}
Here are the next few steps:
{{{cartoon(y-7 = -3(x+1), y-7 = highlight(-3)*(x+1),y-7 = -3x-3,y-highlight(7) = -3x-3, y = -3x + 4, highlight(y= -3x + 4))}}}

Then  {{{y=-3x+4}}} is your answer.