Question

Passes through (-2,-5) and is perpendicular to the line y=1/3x+7

Answer 1

y=-3x+1

Explanation:

1. Finding slope of new line - When it says perpendicular slope, it is the negative reciprocal. The reciprocal of 1/3 is 3, and when you negative that, it becomes negative 3, so the slope of the perpendicular line is -3.
   1/3x is perpendicular to -3x
2. Plugging (-2,-5) in to find y-intercept - Using slope-intercept formula y=mx+b, where m is the slope (-3) and b is the y-intercept, plug in the x and y values from (-2,-5).
   -5=-3(-2)+b
   -5=-6+b
   1=b
   b=1

Put it all together - m=-3, b=1, so y = -3x + 1