Is y = -6x +7 the equation for the table? How do you know? If not, write the correct equation.

The given equation is incorrect. The equation should be y = 4x-3

Explanation:

Plug any x value from the table into the equation. We should get the y values shown in the table. If not, then we have the wrong equation.

Plug in x = -1 to get

y = -6x + 7

y = -6(-1) + 7

y = 6 + 7

y = 13

We should have gotten y = -7 which is what the table indicates. Since we got a different y value, this means we have the wrong equation.

To find the correct equation, we need the slope

Pick any two points from the table. I'll pick the last two points since everything is positive here.

m = (y2 - y1)/(x2 - x1)

m = (17 - 9)/(5 - 3)

m = 8/2

m = 4

The slope is 4

Use this slope value along with (x1,y1) = (3,9) with point slope form

y - y1 = m(x - x1)

y - 9 = 4(x - 3)

y = 4(x-3) + 9

y = 4x-12 + 9

y = 4x-3

The correct equation is y = 4x-3

Plugging in x = -1 leads to

y = 4x-3

y = 4(-1)-3

y = -4-3

y = -7

Which is what the table shows. I'll let you check the other x values in the table.

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .

126 maybe. sorry