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

A line passes through the origin and has a slope of -3. What is the equation of the line that is perpendicular to the first line and passes through the point (3, 4)? Two lines are perpendicular. The equation of the first line is y = 4x + 1.

What is the equation of the line passing through a point 3 4?

so, the required equation is y−3y+4=0⇒y+4=0.

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

Summary: An equation of the line that passes through the point (2, 3) and is perpendicular to the line 4x - 3y = 10 is y = (-3/4)x + 9/2.

What is the equation of a line that is perpendicular to and passes through the point 8 3 )?

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

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

Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x - 1 is -2/3.

Writing Equations of Lines Parallel and Perpendicular to a Given Line Through a Point

What is an equation of the line that passes through the point (- 2 3 and is parallel to the line whose equation is y 3 2x 4?

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y - 5 = 0.

What is the equation of the line running through the points 2 3 and 4 6?

Answer: The equation of a line passing through the points (2, 3) and (4, 6) is 3x - 2y = 0.

What is the slope of a line perpendicular to a line with a slope of?

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.

What is the equation of the line that passes through the point 4 3 and has a slope of 1?

Summary: The equation of the line that passes through the given point (-4, 3) with slope 1/2 is x - 2y + 10 = 0.

What is the equation of the line that passes through the point 4 3 and has a slope equal to 2?

The equation of a line that passes through (4,3) and has a slope of 2 is y = 2x - 5.

What is the equation of the horizontal line that passes through (- 3 4?

2 Answers By Expert Tutors

(y-(-4)) = 0*(x-(-3)). This simplifies to y+4=0, or the final answer of y= -4.

What is 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.

How is a line perpendicular to another line?

A line is said to be perpendicular to another line if the two lines intersect at a right angle. Explicitly, a first line is perpendicular to a second line if (1) the two lines meet; and (2) at the point of intersection the straight angle on one side of the first line is cut by the second line into two congruent angles.

What is the formula of perpendicular distance?

Therefore, the perpendicular distance (d) of a line Ax + By+ C = 0 from a point (x₁, y₁) is given by. d = |Ax₁ + By₁ + C|]/ √(A² + B²) Go through the example given below to understand the above process and how to apply the formula to solve mathematical problems based on the distance between point and line.

What is the equation of the line that passes through the points (- 2 2 and 0 5?

What is the equation of the line that passes through the points (-2, 2) and (0, 5)? Summary: The equation of the line that passes through the points (-2, 2) and (0, 5) is y = 3/2 x + 5.

What is the equation of the line which passes through the point 2 3 and minus 4 1?

Summary: The equation of the line that passes through (4, -1) and (-2, 3) is 2x +3y - 5 = 0.

What is the slope of the line passing through the points − 1/3 and 4 − 7 )?

The slope of the line passing through the points (-1, 3) and (4, -7) is -2.

Which equation represents the line that passes through (- 6 7 and (- 3 6 )?

The slope of a line joining the two points is y2-y1 / x2-x1 which in this case is 6-7 / -3 - -6) = - 1/3. The slope-intercept form of a line is y =mx +b where m is the slope and b in the y intercept. y = -1/3 x +b.

Which equation shows the point slope form of the line that passes through 3 2 and has a slope of 1 3?

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3 ? The equation of a linear function in point-slope form is y - y1 = m(x - x1). Harold correctly wrote the equation y = 3(x - 7) using a point and the slope.

Which equation represents a line parallel to the line whose equation is − 2x 3y − 4 and passes through the point 1/3 )?

Which equation represents a line parallel to the line whose equation is -2x + 3y = - 4 and passes through the point (1,3)? y1-y2=m(x1-x2). Since the problem says that the new line must pass through the point (1,3), we can plug in the x and y values in to the equation. Choice 2 is the correct answer choice.

What is the slope of the line that is perpendicular to the line whose equation is 2x y 4?

Answer: The slope of the line that is perpendicular to the line 2x + y = 4 is 1/2.

What is the slope of a line that is perpendicular to the line whose equation is y 4x 1?

Using the slope-intercept form, the slope is 4 . The equation of a perpendicular line to y=4x+1 y = 4 x + 1 must have a slope that is the negative reciprocal of the original slope.