Question

Enter an equation in point slope for the line with points (6,9) and (7,9)

Answer 1

y-9=0(x-6)

Or, equivalently: y=9

This represents a horizontal line

Explanation:

Equation of the line

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

`y-k=m(x-h)`

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

`\displaystyle m=(y_2-y_1)/(x_2-x_1)`

The points are (6,9) and (7,9). These points dfine a horizontal line, as we'll see later.

The slope is:

`\displaystyle m=(9-9)/(7-6)=0`

m=0

Now compute the equation in point-slope form:

y-9=0(x-6)

Solving for y:

y=9

This represents a horizontal line