Question 945144
to determine if the graphs of the lines in the pair are parallel or not, all we need is to find slopes and if both {{{slopes}}} are {{{equal}}}, lines {{{are}}} parallel


{{{y = highlight(3)x + 10}}}...this line is already in slope-intercept form and we see that slope is {{{3}}}


{{{12x -3y =-36}}}..this line need to be written in slope-intercept form first

{{{12x +36 =3y}}}

{{{12x/3 +36/3 =3y/3}}}

{{{y=highlight(4)x +12 }}} ...as you can see, the slope of this line is {{{4}}}

since these lines have different slopes, we know they are {{{NOT}}} {{{parallel}}}; they intersect in one point

see it on a graph:

{{{ graph( 600, 600, -10, 10, -10, 10, 4x +12, 3x + 10) }}}