Question

3. Write the equation of a line that is perpendicular to y= 1/3 + 3 and goes through the point (1-2).

Answer 1

• y=1/3x+3

Slope=m=1/3

• Slope of the perpendicular line=-3
• Passes through (1,-2)

Equation in point slope form

`\\ \rm\rightarrowtail y-y_1=m(x-x_1)`

`\\ \rm\rightarrowtail y+2=-3(x-1)`

`\\ \rm\rightarrowtail y+2=-3x+3`

`\\ \rm\rightarrowtail y=-3x+1`