Question 1173451
<pre><font face = "consolas" color = "indigo" size = 4><b>
Hi
Parallel Lines have Equal Slopes 
& {{{y = highlight_green(m)x + highlight(b)}}} is the standard slope-intercept form 
4x+5y=-35   |Solve for y
0r
5y = -4x -35
or
y = (-4/5)x - 7
m = {{{highlight_green(-4/5)}}} is the slope of a line parallel to line 4x+5y=-35
Wish You the Best in your Studies.
Sketching: y = (-4/5)x - 7 (Green)  and y =  (-4/5)x + 2  
 as an example of one Line parallel to  y =  (-4/5)x - 7 
{{{drawing(300,300,    -10,10,-10,10,   
 grid(1),
graph( 300, 300, -10,10,-10,10,0,(-4/5)x - 7,(-4/5)x + 2))}}}