Question

What is the slope of the equation 2y = 6x - 8?
y = -3
y = -3x - 2
y = -2x - 3
y = -2

@iGreen can you help with this one as well?

Answer 1

Okay, we want to solve for 'y', so divide 2 to both sides.

y = 6/2x - 8/2

What's 6 / 2?

Answer 2

you need to rearrange the equation into the form
y=mx+c
where m is the gradient and c is the y intercept

Answer 3

What is the equation of a line that passes through the point (0, -2) and has a slope of -3?
y = -3
y = -3x - 2
y = -2x - 3
y = -2

This was supposed to be the question. I posted the wrong one

Answer 4

it has a slope of -3
so m=-3

the equation of a line is
y=mx+c

you know the coefficient of x is -3
there is only one option that fits this

Answer 5

Okay, plug it in point-slope form.

\(y - y_1 = m(x - x_1)\)

Where \(y_1\) is the y-value of the point, \(x_1\) is the x-value of the point, and \(m\) is the slope.

So we have:

\(y + 2 = 3(x - 0)\)

Distribute 3 into the parenthessis:

\(y + 2 = 3x - 0\)

Subtract 2 to both sides, what's 0 - 2?

Answer 6

Oh, my bad that should be:

y + 2 = -3x - 0

Answer 7

So the answer is B

Answer 8

Yep, you got it.

Answer 9

Thanks!