Question

Find the equation of the line shown. Enter your answer in point-slope form. (6,0)(0,6)

Answer 1

Answer:

y = -1 (x - 6)

Explanations:

The point - slope form of the equation of a line is:

`y\text{ - y}_1=m(x-x_1)`

Where m represents the slope, and can be calculated using the equation:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

The line passes through the point (6, 0) and (0, 6)

`\text{This means that x}_1=6,y_1=0,x_2=0,y_2=6`

Calculating the slope using the formula given above:

`\begin{gathered} m\text{ = }(6-0)/(0-6) \\ m\text{ = }(6)/(-6) \\ m\text{ = -1} \end{gathered}`

Substituting the values of m, x1, and y1 into the point slope form of the equation of a line:

y - 0 = -1 (x - 6)

y = -1 (x - 6)