Question 932092
Graph each equation. State the slope, y-intercept and x-intercept for each graph.

to do it, you need to write each given equation in slope-intercept form {{{y=mx+b}}} where {{{m=slope}}} and {{{b=y-intercept}}}

1.
{{{-4x+y=-4}}}
{{{y=4x-4}}}

Slope is {{{4}}}
Y-intercept is {{{-4}}} or at point ({{{0}}},{{{-4}}})
X-intercept: set {{{y=0}}} and solve for {{{x}}}

{{{0=4x-4}}}
{{{4=4x}}}
{{{1=x}}}
X-intercept is {{{1}}} or at point ({{{1}}},{{{0}}})

{{{drawing( 600, 600, -10,10, -10, 10,circle(1,0,.15),locate(1,0,p(1,0)),circle(0,-4,.15),locate(0,-4,p(0,-4)), graph( 600, 600, -10,10, -10, 10, 4x-4)) }}}

2.

{{{-2x-3y=-6}}}
{{{-2x+6=3y}}}
{{{-(2/3)x+2=y}}}

Slope is {{{-(2/3)}}}
Y-intercept is {{{2}}} or at point ({{{0}}},{{{2}}})
X-intercept

{{{-2x-3*0=-6}}}
{{{-2x=-6}}}
{{{6=2x}}}
{{{x=3}}}
X-intercept is {{{3}}} or at point ({{{3}}},{{{0}}})


{{{drawing( 600, 600, -10,10, -10, 10,circle(3,0,.15),locate(3,0,p(3,0)),circle(0,2,.15),locate(0,2,p(0,2)), graph( 600, 600, -10,10, -10, 10, -(2/3)x+2)) }}}


3.

{{{X-4=-9}}}
{{{X=-9+4}}}
{{{X=-5}}} - a vertical line

Slope -the Slope of a Vertical line is Undefined
Y-intercept - {{{none}}}
X-intercept -is {{{-5}}} or at point ({{{-5}}},{{{0}}})


{{{drawing(400,400,-10,10,-10,10,circle(-5,0,.25),locate(-5,0.8,p(-5,0)), graph(400,400,-10,10,-10,10),
rectangle(-5,-11,11,11) 
)}}}