Question 672815


 {{{y = mx+b}}}.....{{{slope-intercept}}} form where {{{m}}} is a slope and {{{b}}} is {{{y-intercept}}}


 1.) 

{{{y = x^2 - 1}}}...this is a quadratic formula and it is a parabola which doesn't have one slope, the slope is constantly changing as you move across the graph

and it has {{{y-intercept}}} which is {{{b=-1}}}


{{{ graph( 600, 600, -10, 10, -10, 10, x^2 - 1) }}}


2.) 

{{{y = (5/2)x - 3}}} .it's linear function and it has a slope

the slope is {{{m=(5/2)}}}

{{{y-intercept}}} is {{{b=-3}}}


{{{ graph( 600, 600, -10, 10, -10, 10, (5/2)x - 3) }}}


3.) 

{{{2y = 4x + 8}}}...first write it in {{{slope-intercept}}} form

{{{2y/2 = 4x/2 + 8/2}}}

{{{y = 2x + 4}}}

the slope is {{{m=2}}}

{{{y-intercept}}} is {{{b=4}}}


{{{ graph( 600, 600, -10, 10, -10, 10, 2x + 4) }}}


4.) 

{{{y = 2x^2 -6}}}...again,a quadratic formula and it is a parabola which doesn't have one slope

{{{y-intercept}}} is {{{b=-6}}}

{{{ graph( 600, 600, -10, 10, -10, 10, 2x^2 -6) }}}