Question

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

Answer 1

see explanation

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = -
`(1)/(7)` and (a, b) = (3, 3), hence

y - 3 = -
`(1)/(7)`(x - 3) ← in point- slope form

Answer 2

use the point (x,y) and (3,3)

slope = (y-3)/(x-3)

but slope = -1/7

therefore we have;

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

cross multiply;

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

7y-21=-x+3

make y subject of the formula:

7y=-x+3+21

7y=-x+24

y=-1/7x+24/7