What is the equation of a line perpendicular to y 2x 4?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.

What is the equation of a line that is perpendicular to Y 2x 4 and passes through the point 4 6 )?

The final equation would be y = (-1/2)x + 8, which is answer D. Hope this helps!

Which equation could represent a line that is parallel to Y =- 2x 4?

The equation y = 2x + 4 has a slope of 2 and a y-intercept of 4. The line parallel to this has an equation in the form y = 2x + b where b is not equal to 4.

What is the equation of a line that is perpendicular to Y 4x 5?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x+5 y = 4 x + 5 must have a slope that is the negative reciprocal of the original slope.

Which equation represents a line which is perpendicular to the Y axis?

y=b
Explanation: A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

Which equation represents a line that is perpendicular to the line with equation y 2x?

y = 2x – 3.5 the equation we will be working with. In this form, we can easily see that the slope is 2x. For a line to be perpendicular to this line, the slope will be the negative inverse of 2x. If we start with line y=mx+b a line perpendicular to this would be y = – 1/m x + b.

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

2 Answers By Expert Tutors for some constant b. So the line perpendicular to y = 3x – 2 has a slope of -1/3. That’s the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.

How to find the equation of a perpendicular line with two points?

Before you calculate the equation of the perpendicular line, you will need to find the slope of the line that crosses the two points. The equation for finding the slope of a line with two points is m = y 2 − y 1 x 2 − x 1 {\\displaystyle m={\\frac {{y^{2}}-{y^{1}}}{{x^{2}}-{x^{1}}}}} .

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.

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.

How do you find the equation of a line with one point?

The first way is to solve for the equation of a line with one point and the equation of a line that runs perpendicular to it. The second way is to use two points from one line and one point from a perpendicular line. If a line runs perpendicular to another line, it means that it crosses it at a right angle.