Academic Subjects
Math
Algebra
Linear Equations
Equation Of The Line Passing Through (-3, 8)

A line has a slope of -2/3 and passes through the point (-3, 8),
what is the equation of the line?



We know, that the standard equation of a line is

y = mx + b

We are given y, m and x
Let's plug these into the equation and solve for b

8 = -
2 / 3
(-3) + b


The 3's cancel,

8 = -
2 / 3
(-3) + b

Leaving us with
8 = - 2(-1) + b

Solving for b
b = 8 - 2 = 6

The equation of this line is

y =
2 / 3
x + 6