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Find the equation of a line perpendicular to x=−4 that contains the point (−3,4). Write the equation in slope-intercept form.

Sagot :

Answer:

y=4

Step-by-step explanation:

We recognize x=−4 as a vertical line, so its perpendicular will be horizontal. The equation of the horizontal line containing the point (−3,4) is given by y=4.

The slope-intercept form of a line perpendicular to x=−4 that contains the point (−3,4) is y = 4.

What is the slope of a line that is perpendicular to the other line?

The slope-intercept form of a line is y = mx + c.

Here, m = slope and c = y-intercept of the line.

The equation of the given line is x = - 4

Therefore, the given line is a vertical line.

Now, the line that is perpendicular to the line x = - 4, is a horizontal line.

Now, the horizontal line that passes through the point (- 3, 4) is y = 4.

Learn more about the slope-intercept form of a line here: https://brainly.com/question/15000427

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