Question

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)

Answer 1

For this case we have that by definition, the point-slope equation of a line is given by:

$(y-y_ {0}) = m (x-x_ {0})$

Where:

$(x_ {0}, y_ {0}):$ It is a point through which the line passes

m: It is the slope of the line

According to the data we have to:

$(x_ {0}, y_ {0}): (-2,4)\\m = \frac {2} {5}$

Substituting:

$y-4 = \frac {2} {5} (x - (- 2))\\y-4 = \frac {2} {5} (x + 2)$

Finally, the equation of the line is:

$y-4 = \frac {2} {5} (x + 2)$

ANswer:

$y-4 = \frac {2} {5} (x + 2)$

Answer 2

Answer:

The answer is A