Question

Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.

Answer 1

Answer:

x = -2

Step-by-step explanation:

The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.

Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).

Thus, the equation of the line is x = -2

Answer 2

The equation of the line is given by:

$x = -2$

The equation of a line has the following format:

$y = mx + b$

In which:

• m is the slope, which is the rate of change.
• b is the y-intercept, which is the value of x when y = 0.
• If two lines are parallel, they have the same slope.

Line x = -5 is a horizontal line, thus, it's slope is undefined.

A line parallel will also be horizontal, with undefined slope.

It passes through point P(-2,6), thus, the equation of the line is:

$x = -2$

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