Question 500339
The first of the forms for a linear equation is {{{slope-intercept}}} form. Equations in {{{slope-intercept}}} form look like this:

{{{y=mx+-b}}}

where {{{m}}} is the {{{slope}}} of the line and {{{b}}}is the {{{y-intercept}}} of the line, or the {{{y-coordinate}}} of the point at which the {{{line}}}{{{ crosses}}}the {{{y-axis}}}. 

so, you have:

{{{y – 2 = 5(x + 7)}}}

{{{y= 5(x + 7)+2}}}

{{{y= 5x + 35+2}}}

{{{highlight(y= 5x + 37)}}}......... {{{slope-intercept}}} form

{{{m=5}}}

{{{b=37}}}


{{{ graph( 500, 500, -10, 10, -10, 45, 5x + 37) }}}