Question

23) Write the equation in slope-intercept form of the line that contains (4, -1) and is perpendicular to

y = x + 2
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Answer 1

Explanation:

Since it is asking for a perpendicular line, we take the reciprocal of the slope in the given equation to use as the slope for the perpendicular line.

In y = x + 2, m = 1. However, for a perpendicular line we flip and multiply by a negative 1.

(Example: If m = 3, we would take the reciprocal of it and it turns into m = -1/3. If m = - 1/4, we would take the reciprocal of it and it turns into m = 4.)

So, the m = 1 turns into a m = -1.

Now, you can use the point (4,-1) to form a point-slope equation first.

y-(-1) = -1(x-4)

Then, use basic algebra to form a slope-intercept form equation.

y + 1 = -x + 4

y = -x +3