Question

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y=-2/3x+6. What is the point-slope form of the
equation for this line?

Answer 1

Answer:

b. y - 8 = -2/3(x + 3)

Step-by-step explanation:

Well point-slope form takes one point in this case (-3,8) and puts it into the equation.

So this is point slope form,

$y -y_{1} = m(x - x_{1} )$

The 2 negatives in the -y and -x means you have to change the number to a negative to a positive to a negative.

We plug in (-3,8) to the equation.

y - 8 = m(x + 3)

Well we change the -3 to a 3 because of the negative.

So with the given slope -2/3 we plug that in for m.

y - 8 = -2/3(x + 3)

Thus,

answer choice b is correct.

Hope this helps :)