Will the graph of the line represented by the table x-1,0,1,2 y-1,3,7,11 intersect the graph of y=4x+5 explain

The graph of the line represented by the table will not intersect the graph y= 4x + 5.

Step-by-step explanation:

y = 4x + 5  

Let's take the first point of the graph x = -1, y = -1

If the point (-1, -1) passes through y = 4x + 5 then they intercept at that point  

y = -1   x = -1  then -1 = 4(-1) + 5

-1 = -4 + 5  

-1 = 1 does not satisfy the equation that means the two lines do not intercept at (-1,-1)

Let's take the second  point of the graph x = 0, y = 3

If the point (0, 3) passes through y = 4x + 5 then they intercept at that point

y = 3   x = 0  then 3 = 4(0) + 5

3 = 5  does not satisfy the equation that means the two lines do not intercept at (0,3).

Let's take the Third point of the graph x = 1, y = 7

If the point (1,7) passes through y = 4x + 5 then they intercept at that point

y = 7  x = 1 then 7 = 4(1) + 5

7 = 4 + 5  

7 = 9 does not satisfy the equation that means the two lines do not intercept at (1,7)

Let's take the last point of the graph x = 2, y = 11

If the point (2,11) passes through y = 4x + 5 then they intercept at that point  

y = 11   x = 2  then 11 = 4(2) + 5

11 = 8 + 5

11 = 13 does not satisfy the equation that means the two lines do not intercept at (2,11).  

So the graph of the line represented by the table will not intersect the graph y= 4x + 5.

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