How do you find the equation of a line perpendicular to another line?

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. Thus, the equation of the line is y = ½x + 6.

How do you find a perpendicular line with a slope of 0?

A line that has a slope of 0 has no rise and is therefore a horizontal line. The perpendicular line to this would be a vertical line whose slope is undefined as there would be 0 run.

Which equations represent the line that is perpendicular to the line 5x 2y =- 6 and passes through the point 5 4 )? Select three options?

Terms in this set (10) y – 4 = -(x – 6) and passes through the point (−2, −2)? The given line segment has a midpoint at (−1, −2). What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

How to find the slope of a perpendicular line in slope intercept form?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2 x +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 = 1/2 x + b and solving for b, we get b = 6.

How do you find the equation of a perpendicular line?

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. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

What is the definition of a perpendicular line?

The definition of a perpendicular line is one that has a negative, reciprocal slope to another. For this particular problem, we must first manipulate our initial equation into a more easily recognizable and useful form: slope-intercept form or. According to our formula, our slope for the original line is.

What is the B or y-intercept of Line K?

Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. (-4/1) If we set up the formula y=mx+b, using the given point and a slope of (-4), we can solve for our b or y-intercept. In this case it would be 17.