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.

y = kx+m is the linear equation

k: the slope

m: where the line crosses the y-axis

which gives

Step-by-step explanation:

y=-6x + m

insert the coordinates in the equation

-8 = -6 * 2 + m

-8 = -12 + m

m = -8 + 12

m = 4

--> ans: y = -6x + 4

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:

Hope this helps!

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.