How do you find the equation of a line that passes through a point and is 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. Rearranged, it is –x/2 + y = 6.

What is the slope of a line perpendicular to the line whose equation is y 2 3x 5?

The slope of a perpendicular line will be m = 3/2.

How do you find perpendicular points?

To find the perpendicular of a given line which also passes through a particular point (x, y), solve the equation y = (-1/m)x + b, substituting in the known values of m, x, and y to solve for b.

How do you find a line perpendicular to two lines?

A line perpendicular to a line Ax + By + C = 0 can be found by exchanging the coefficient of x and y and change the sign of one of them. That is: Bx – Ay + C1 = 0. Because the product of the slope of these two lines = (-B/A)(A/B) = -1 which shows that they are perpendicular to each other.

What is the slope of a line perpendicular to 2?

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.

What is the slope of a line perpendicular to 5y =- 10?

The slope of the perpendicular line is the negative reciprocal, −1m . −1m=−115=−1⋅51=−51=−5.

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.

Are the lines MN and KL perpendicular?

Answer:The lines are perpendicular. Option 3. It is given that the line MN passes through the point (-4,8) and (-4,-6). The line KL passes through the points (-8,2) and (6,2). If a line passes through two points and , then the slope of the line is It means line MN is a vertical line.

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.

When slope of lines are reciprocal to each other?

When slope of lines are reciprocal to each other then the lines are perpendicular. Hence, line KL and MN are perpendicular. Answer:The lines are perpendicular. Option 3. It is given that the line MN passes through the point (-4,8) and (-4,-6). The line KL passes through the points (-8,2) and (6,2).