Find the Perpendicular Line x=8 , (3,4) (2024)

FAQs

How to find the perpendicular line of an equation? ›

Perpendicular lines have opposite (signs) reciprocal (flip fraction). So if slope is -4/5, the perpendicular slope is 5/4. If y=mx+b, we can subtract mx on both sides to get b=y-mx, and subbing in x=4, y=-3, and m=5/4, we get b=-3-(5/4)(4), 4s cancel, so you have b=-3-5=-8. Thus equation is y=5/4 x -8.

The slope of Perpendicular lines are reciprocal and have opposite signs. As the value written next to "x" indicates the value of Slope in this equatiuon the slope of the line is given as "3/4". Thus the line perpendicular to this line will have a slope of "-4/3".

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) . Therefore, the equation of our new line is: y=−13x+6 .

The line x=-3 is a line parallel to the y-axis. So a line perpendicular to it will have a slope parallel to the x-axis or its slope is 0.

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. Since the line is perpendicular, the slope is the negative reciprocal.

In Mathematics, a perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are perpendicular to each other.

1 Expert Answer

So to find the slope of a line perpendicular to y = -2/3x + 4 we must know the slope of it. The slope, when the line is in the slope-intercept form (aka y = mx + b), is the multiplier in front of the "x" so in this case it is -2/3. So a line perpendicular to it has a slope of 3/2.

The slope of the line y=3/4x +9 is 3/4. Therefore ALL lines with a slope of -4/3 are perpendicular to this line.

In conclusion, any equation that has a -1/2 for its b term is perpendicular to y= 2x +4. Example y= -1/2x -19 or y= -1/2x +5.. Thats how simple it is.

The line y = 3/4x - 6 has a slope of 3/4. A line perpendicular to 3/4 has a slope of -4/3. So the slope of our new line will be -4/3.

Can 3 lines be perpendicular? ›

Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . The right angle symbol in the figure indicates that the lines are perpendicular. In three dimensions, you can have three lines which are mutually perpendicular.

1 Expert Answer

For an equation in the form of y = mx + b, a perpendicular line would have -(1/m) as its slope. y = -(1/m) + b. Rearrange the equation to y = -(3/4)x + 12 and a perpendicular line would be y = (4/3)x + 12.

To be perpendicular, they only need to have opposite reciprocal slope. For example, the lines, y=3x+8 and y= -(1/3)x-3 would be perpendicular because -1/3 is the opposite reciprocal of 3.

The formula for the slope of perpendicular lines is m₁. m₂ = -1. The product of the slopes of perpendicular lines is equal to -1. Alternatively, we can say that m₂ = -1/m₁, that is the slope of one line is equal to the negative reciprocal of another line.

Two lines are perpendicular if their slopes are negative reciprocals of each other. The given line is in slope-intercept form y=mx+b, where m is the slope and b is the y-intercept. For the given line, the slope is m=5. The negative reciprocal of 5 is −15, so the slope of the perpendicular line is m=−15.

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.