How do you find the equation of a perpendicular line that passes through a given point?

What is the equation of the line that is perpendicular to the given line and passes through the point 3 4?

A line perpendicular to a line with slope m will have the slope -m, so the slope of the perpendicular line in your example will be +1.5, or 1.5. Substituting 1.5 for m and using the values of x and y at the point (3,4) gives the equation 4=1.5*3 + b, giving b = -.

How do you find the equation of a line passing through a point and is parallel?

What is the equation of the line that is parallel to the line 5x 2y 12?

The equation 5x – 2y = -12 is in standard form Ax + By = C where A = 5, B = -2 and C = -12. The slope of a line in Standard form is m = -A / B therefore the slope is -5 / -2 or 5/2. y – 3 = (5/2) (x – –2) or y – 3 = (5/2) (x + 2). You might be expected to write the equation in Slope-Intercept form or Standard form.

What is an equation of a line that is perpendicular to the line whose equation is 2y 3x 1?

-2/3
So the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1. Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is -2/3.

What is the equation of the line that is perpendicular to the given line and passes through the point 2 3?

The Slope of perpendicular condition ( M2) is : 4/3. Given point ( X1 , Y1 ) = (2,3). 4x – 3y + 1 = 0. The resultant equation is : 4x – 3y + 1 =0.

What is the equation of the line that is perpendicular to the given line and passes through point 2 6?

m=0. Thus y=0x+4. Perpendicular lines have opposite reciprocal slopes and you would like it to pass through the point (2,6). Thus when you flip it, x=6.

Which equations represent the line that is perpendicular to the 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.

What is the equation in the slope intercept form of the line that is perpendicular to the line?

The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.

What is the equation of the line that passes through 2 3 and is perpendicular to 2x 3y 6?

having slope of 2/3. Slope of perpendicular line to given line is -3/2. It passes thru A(-2,3). 2y-6+3x+6=0 3x+2y=0 is the equation of perpendicular.

What is the equation of a line that is perpendicular to Y 4x 5 and passes through the point 8 3?

What is the equation of a line that is perpendicular to y = 4x + 5 and passes through point (8, 3)? Solution: The equation y = 4x + 5 in the form y = mx + c. The slope of the line is 4.

How do you find the equation of the perpendicular bisector?

What are perpendicular lines?

Perpendicular lines are lines that intersect at a 90-degree angle. So, for example, line ST is perpendicular to line CD. So line ST is perpendicular to line CD.

What is the equation of the line perpendicular to 2x 3y 6?

Now the line which is perpendicular to the given line will have the slope M=-1/m ,because the product of their slope must be equal to( -1). Thus we get the slope of the line perpendicular to 2x+3y=6 as M=3/2. Also its equation will be of the form y=3/2x+c.

What is perpendicular to Y 3×4?

Two perpendicular lines have opposite reciprocal slopes. The slope in y=3x+4 is 3 , so the line perpendicular to it will have a slope of −13 . We can write this in the form y=−13x+b and then plug in (3,5) for x and y to find the equation of the line perpendicular to the line y=3x+4 that goes through the point (3,5) .

How do you find the equation of a line?

To find an equation of a line given the slope and a point.
  1. Identify the slope.
  2. Identify the point.
  3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
  4. Write the equation in slope-intercept form.

How do you find the equation of a line that is perpendicular to a vertical line?

How do you find perpendicular lines?

Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other.