Question

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

Answer 1

Answer:

         y = -⁶/₅x - 8

Step-by-step 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