Question

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

Answer 1

Y = mx + b

Substitute x and y values with (1,-7)
And sub in slope -2/3 to find b value

-7 = -2/3(1) + b
-7 = -2/3 + b

Multiply both sides by denominator (3)

-21 = -2 + 3b

-19 = 3b

-19/3 = b


Plug into formula


Y = -2/3x + -19/3

Answer 2

$y + 7 = - \frac{2}{3} (x - 1)$