Suppose a line has slope 4 and passes through the point (-2, 5). which other point must also be on the graph? a) (2, 6) b) (-1, 9) c) (-1, 1) d) (-6, 4)

The answer is B) (-1,9).

I would suggest graphing this in order to find your solution however. Graph (-2,5) on a graph, then go up four units and over to the right one. Keep going until you find your point (-1,9).

if x decreases by 4 then y increases by 10

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: