Question

Will give brainliest.

A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).

y -(-8) = -6(x - 2)

y -(-8) = -6x + 12

y -(-8) + 8 = -6x + 12 + 8

y = -6x + 20

Explain why the work is not correct.

Answer 1

Answer:

They added 8 to each side,     --8 is +8    so we need to subtract - from each side not add 8 to each side

Step-by-step explanation:

We have a slope and a point

We can use point slope form

y-y1 = m(x-x1)

y--8 = -6(x-2)    

y+8 = -6(x-2)

Distribute the -6

y+8 = -6x+12

Subtract 8 from each side

      ERROR in the students work

They added 8 to each side,     --8 is +8    so we need to subtract - from each side not add 8 to each side

y+8-8 = -6x+12-8

y = -6x+4

Answer 2

Answer:

The student should have simplified the equation to have y + 8 on the left.

Then, the student should have subtracted 8 from both sides of the equation.

The value of b should be 4, not 20.

Step-by-step explanation: