Question 258033
We start with 
(i) {{{y = 5x+2}}}
This is similar to 
(ii) {{{y = mx + b}}}
matching up the 2 we get
slope = m = 5.
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If we were to graph this, it would be a line.
vertical intercept = do you mean x-intercept?
horizontal intercept = do you mean y-intercept?
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X-intercept is when y = 0. If y = 0, then
{{{0 = 5x + 2}}}
{{{-2 = 5x}}}
{{{(-2/5) = x}}}
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Y-intercept is when x = 0. If x = 0, then
{{{y = 5*0 + 2}}}
{{{y = 2}}}