Question

What is an equation of a line, in point-slope form, that passes through (1,-7) and has a slope of -2/3?

A. y+7=-2/3(x-1)
B. y+7=2/3(x+1)
C. y-7=-2/3(x+1)
D. y-7=2/3(x-1)

Answer 1

Answer: y + 7 = -2/3 (x - 1 )

Explanation:

The equation of a line in point - slope form is given as :

`y-y_(1)` = m(
`x-x_(1)` )

Where m is the slope and (
`x_(1)` ,
`y_(1)`) is the given point

substituting the values into the formula , we have:

y - (-7) = -2/3 ( x - 1)

y + 7 = -2/3(x - 1 )