Answer:
The given equation is incorrect. The equation should be y = 4x-3
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Step-by-step 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.
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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.