Question 172523
1. Find the slope and the y-intercept of the line. Write fractional answer in the lowest terms. 4y+4x+9=12+4x Slope is__. The y-intercept is (0,_).
{{{4y=-4x-9+12+4x}}}
{{{4y=3}}} 
{{{y=3/4}}} y-intercept; {{{Slope=m=0}}}

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second question. Find the slope if it exist, of the line containing the pair of points (8,10) and (9,-8) the slope m=__.
Via Slope form: {{{m=(y[2]-y[1])/(x[2]-x[1])}}}
{{{m=(-8-10)/(9-8)=-18/1}}}
{{{highlight(m=-18)}}}
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The third question. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (-7,8);2x=7y+5 
{{{2x=7y+5}}} --->{{{7y=2x-5}}} --->{{{cross(7)y/cross(7)=(2x-5)/7}}}
{{{y=(2/7)x-(5/7)}}} ---->Line 1------->{{{m[1]=2/7}}}
Remember for parallel lines: {{{m[2]=m[1]}}}
Then, {{{m[2]=(2/7)}}}
Thru points (-7,8):
{{{8=(2/7)(-7)+b=(-14/7)+b=-2+b}}}
{{{b=8+2=10}}}
Therefore ------> {{{highlight(y=(2/7)x+10))}}}, Answer (Line 2)
We'll see the graph:
{{{drawing(400,400,-18,10,-18,18,graph(400,400,-18,10,-18,18,(2/7)x-(5/7),(2/7)x+10))))}}} -----> RED, Line 1; GREEN, Line 2
Thank you,
Jojo