Question

Write an equation in point-slope form for the line through the given point with the given slope (9,-1); m =4/3 A . Y-1=4/3(x-9)B. Y-9=4/3(x+1) C. Y+1=4/3(x-9)D. Y-1=4/3(x+9

Answer 1

Step 1: List the given data

`\begin{gathered} m\text{ = }(4)/(3) \\ \text{Coordinates (x}_{1\text{ , }}y_1)\text{ = ( 9, -1 )} \end{gathered}`

Step 2: Write the equation of a line formula in a point-slope form

`y-y_1=m(x-x_1\text{ )}`

Step 3: Substitute all values in the point-slope form equation.

`\begin{gathered} y\text{ - (-1) = }(4)/(3)(x\text{ - 9)} \\ y\text{ + 1 = }(4)/(3)(x\text{ - 9)} \end{gathered}`

Step 4: Final answer

`y\text{ + 1 = }(4)/(3)(\text{ x - 9) Option C}`