Question

How to write perpendicular line equations?

Answer 1

Answer:

First, put the equation of the line given into slope-intercept form by solving for y. You get y = 2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6

Answer 2

Answer:

See below.

Step-by-step explanation:

If you are given the equation of a line and a point, and you are asked to find the equation of the perpendicular line that passes through that point, do this:

Write the equation of the given line in slope-intercept form, y = mx + b. If the equation is not given that way, then solve for y.

The slope of the given line is m.

The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular line is -1/m. Let's call the slope of the perpendicular, M.

Write the equation of the perpendicular line with the information you know so far which is just the slope, M.

y = Mx + b

Now substitute x and y in the equation with the x- and y-coordinates, respectively, of the point you were given, and solve for b.

Finally, write the equation of the perpendicular as

y = mx + b,

where m is the value you found for the slope of the perpendicular, and b is the value you found above.