Which equation represents a line that passes through (–2, 4) and has a slope of StartFraction 2 Over 5 EndFraction.? y – 4 = (x + 2) y + 4 =(x – 2) y + 2 = (x – 4) y – 2 =(x +4)

For this case we have that by definition, the point-slope equation of a line is given by:[tex](y-y_ {0}) = m (x-x_ {0})[/tex]Where:[tex](x_ {0}, y_ {0}):[/tex] It is a point through which the line passesm: It is the slope of the lineAccording to the data we have to:[tex](x_ {0}, y_ {0}): (-2,4)\\m = \frac {2} {5}[/tex]Substituting:[tex]y-4 = \frac {2} {5} (x - (- 2))\\y-4 = \frac {2} {5} (x + 2)[/tex]Finally, the equation of the line is:[tex]y-4 = \frac {2} {5} (x + 2)[/tex]ANswer:[tex]y-4 = \frac {2} {5} (x + 2)[/tex]