Respuesta :

y=mx+b
m=slope=rise/run
if slope>0, then it increases
if slope<0, then decreases because it is going down


y=7-2x
y=-2x+7
-2<0
decreasing
because the y values decrease from left to right
the x values always increase if you go from left to right

B is the answer

The graph of the given equation decreases because the y values decrease from left to right. So, option B is correct.

It is given that,

  • The linear equation is [tex]y=7-2x[/tex].

Explanation:

Substituting [tex]x=0[/tex] in the given equation, we get

[tex]y=7-2(0)[/tex]

[tex]y=7[/tex]

Substituting [tex]x=1[/tex] in the given equation, we get

[tex]y=7-2(1)[/tex]

[tex]y=7-2[/tex]

[tex]y=5[/tex]

Plot the points (0,7) and (1,5) on a coordinate plane and connect them by a straight line.

From the graph of  [tex]y=7-2x[/tex], it is clear that the graph of the given equation decreases because the y values decrease from left to right. So, option B is correct.

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