Question

What is the equation of the line that passes through the point(-5, -2) and has a
slope of -6/5

Answer 1

y = -⁶/₅x - 8

Explanation:

The slope-intercept form of equation is: y = mx + b

where m is slope and b is y-intercept

If line y=ax+b passes through point (x₀,y₀) that means

that the equation y₀=ax₀+b is true

(-5, -2) ⇒ x=-5, y=-2

m = -⁶/₅

So:

-2 = -⁶/₅ (-5) + b

-2 = 6 + b

b = -8

Therefore equation in slope-intercept form:

y = -⁶/₅x - 8