Question

What is an equation of the line, in point-slope form, that passes through the given point and has the given slope?
[Image with choices below]

I got 3x-y-32=0 but it isn't a choice, what am I doing wrong?

Answer 1

point slope form is a specific form (the same as your choices)

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

Answer 2

I don't know how to get it into the correct form

Answer 3

the m stands for slope (who knows why they use "m" for slope)

\( (x_1,y_1) \) stands for a *known* point

now match what you know to the formula
y - y_1 = m(x - x_1)

replace the m with the slope
replace x1 with the x value from (8,-8) (the first number)
replace y1 with the y value from (8,-8)

can you do that ?

Answer 4

y-(-8)=3(x-8)?

Answer 5

so it is y + 8 = 3 (x – 8)?

Answer 6

all you have to do is replace the letters with the correct numbers

yes that looks good.

notice that y - (-8) is the same as y + 8 (two -'s make a +)

Answer 7

hmm I got you

Answer 8

yes. It is not too hard....

Answer 9

thanks so much @phi