Question

The slope of the line below is -1/7. Write the point-slope equation of the line using the coordinates of the labeled point. (3,3)

A. y + 3= 1/7(x+3)
B. y + 3 = -1/7(x+3)
C. y - 3 = -1/7(x-3)
D. y - 3 = 1/7(x-3)

Answer 1

point slope form is: \(\large\color{brown}{ y-y_1=m(x-x_1) }\)

where:
~ the point is: \(\large\color{brown}{ (x_1,y_1) }\)
~ the slop is: \(\large\color{brown}{ m }\)

Answer 2

you have:
~ a point: \(\large\color{teal}{ (3,3) }\)

~ a slope: \(\large\color{teal}{ -\frac{1}{7} }\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
so plug in this (above) given information into the: \(\large\color{teal}{ y-y_1=m(x-x_1) }\)

Answer 3

so 3 + 3 =-1/7(3-3)?
Like that?

Answer 4

It would be C? @SolomonZelman

Answer 5

?

Answer 6

yes, that is very good!

Answer 7

C