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:

none of the given options satisfies the slope request.

equation for he line with requested conditions:

step-by-step explanation:

the equation of the line with the requested geometric conditions can be derived by writing it in slope -y intercept form. recall the general form of a line in this form: .

we can replace the "" (slope) in the expression by its requested value{ , thus getting:

the parameter "b" can be found by requesting the other condition: the line should pass through the point (-2,4). therefore:

therefore, the equation of the line with these conditions is:

and none of the equations given as possible answers satisfies the slope request

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3