Answer:
y=3x+14
Step-by-step explanation:
We can use point-slope intercept form to find the equation of the line.
Equation: y-y₁=m(x-x₁)
**For a line to be perpendicular to another, its slopes must be negative reciprocals of each other. So, in our example, the slope of the new line must be [tex]\frac{1}{3}[/tex].
1. Plug in provided info into the equation listed above (the coords are the values that we will put for x₁ and y₁:
y-5=[tex]\frac{1}{3}[/tex](x-(-3))
2. Simplify:
y-5=[tex]\frac{1}{3}[/tex](x+3)
3. Distribute & Simplify
y-5=[tex]\frac{1}{3}[/tex]x+1
3. Add 5 to both sides of the equation:
y=[tex]\frac{1}{3}[/tex]+6
