Chapter 3.4, Problem 26PPS

To determine

To write an equation of line through $(2,-1)$ and $(2,6)$ in slope intercept form.

Answer to Problem 26PPS

Slope intercept form not defined

Explanation of Solution

Given information:

Line through $(2,-1)$ and $(2,6)$

Formula used:

Slope, $m=\frac{y_2-y_1}{x_2-x_1}$

Point-slope form

  $y-y_1=m(x-x_1)$

Slope intercept form

  $y=mx+b$

Calculation:

Points

$(2,-1)$ and $(2,6)$

Here

  $x_1=2$

  $y_1=-1$

  $x_2=2$

  $y_2=6$

Using slope formula to calculate slope of line

  $m=\frac{6-(-1)}{2-2}$

On solving

  $m=\frac{7}{0}$

Slope is not defined.

Slope undefined means line is vertical or infinite.

No change in x -coordinates.

Hence, slope intercept form is not defined