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the given equation is written in slope-intercept form, which looks like so:
[tex]\pmb{y=mx+b}[/tex]
where
[tex]\pmb{m}[/tex] is the slope of the line
[tex]\pmb{b}[/tex] is the y-intercept of the line
in order to determine the slope & the y-intercept, just look at the equation:
[tex]\pmb{y=3x-7}[/tex]
slope: [tex]\pmb{3}[/tex]
y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])
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Hope everything is clear; if you need any more explanation, kindly let me know.