Which line is a graph of the equation: 2x + 5y = –10? number graph ranging from negative five to five on the x axis and negative six to two on the y axis. four lines are drawn in blue on the graph. lines a and c have a positive slope and are parallel to each other. lines b and d have a negative slope and are parallel to each other. lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two). a. line a b. line b c. line c d. line d

First we find the slope of the given line by using slope intercept form.

Converting the equation into slope intercept form

Divide both side by 5 we get

On comparing with

We get slope

as the slope of line is negative therefore the line will either "b" or "d"

As line "b" pass from (0,2)

On putting it in given equation we get

Which is not equL to RHS of the line

Therefore b is not the given line

Now putting point (0,-2)

We get

Satisfy the equation and line "d" pass from it

There the give equationis of line "d"