Question

4. Write the equation of line that is perpendicular to y= -1/3x + 7 and has a y intercept of -1.

Answer 1

Answer:

         y = 3x - 1

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = -1/3x + 7   ⇒   m₁=-1/3

-1/3×m₂ = -1        ⇒    m₂ = 3

The y-intercept is b=-1 so the equation in  slope-intercept form:

                                                y = 3x - 1