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Rom4ik [11]
3 years ago
13

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

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

<em>y-9=0(x-6)</em>

<em>Or, equivalently: y=9</em>

<em>This represents a horizontal line</em>

Step-by-step explanation:

<em>Equation of the line</em>

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=\frac{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=\frac{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

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