Question 655406
Slope Intercept form:

{{{y=mx+b}}}

{{{y=-4}}}

{{{m}}}=?

{{{x=-4}}}

{{{b}}}=?

Find{{{ m}}}: 

Since you know your line is parallel to {{{x=0}}} then we know it is a {{{vertical}}} line on the {{{y-axis}}} that has points of [(0,1), (0,2), etc...]

take points: (0,1) and given point (-4,-4)

{{{m = (y2 - y1) / (x2 - x1)}}}...

{{{m = (-1 - (-4)) / (-4 - 0)}}}

{{{m = (-1 +4) / (-4 )}}}

{{{m = 3 / (-4 )}}}

{{{m = -(3/4)}}}




So.... back to {{{y=mx+b}}}

{{{-4 = -(3/4)(-4) + b}}}

{{{-4= 3 + b}}}

{{{-4-3= b}}}

{{{b =-7}}}


Finally {{{y =  -(3/4)x -7}}}  or {{{y =  -(0.75)x -7}}}

{{{ graph( 600, 600, -10, 10, -10, 10, -(3/4)x -7) }}}



or, you can find it this way: first slope, then equation of line through the given point and slope



*[invoke find_line_by_slope_and_point -4, -4, -0.75]