Question

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

Answer 1

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

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 = -
`(2)/(3)` and (a, b) = (1, - 7), thus

y - (- 7) = -
`(2)/(3)`(x - 1), that is

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