How do you solve perpendicular lines with fractions?

How do you solve perpendicular lines with fractions?

Lines that are perpendicular to each other have slopes that are negative reciprocals of each other. This means that you need to flip the numerator and denominator of the given slope and then change the sign. Flip the numerator and the denominator.

How do you find the equation of a line perpendicular to another line?

Correct answer: 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 perpendicular line of 1 3?

-3
If the slope of a line is 1/3,the slope of a line perpendicular to this line is -3. If two lines are perpendicular then the product of slope is equal -1.

Can the slope of a line be a fraction?

Slopes can be whole numbers or fractions and either positive or negative. All slopes can be converted to a fraction form that tells you how much the line changes in the y direction over how much the line changes in the x direction. This is easy to remember as the phrase ‘rise over run.

How do you find the slope of two perpendicular lines?

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

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 slope is perpendicular to m =- 3?

Using the slope-intercept form, the slope is Undefined.

What is the slope of a line perpendicular to 3 2?

Correct answer: The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.

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

What line is perpendicular to the line 2x + 3y = 6 through (4, 1)? Explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).

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 do you find the slope of a perpendicular line?

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.

What is 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 .

How to find the y-intercept of a perpendicular line?

Now that you have the slope of the perpendicular line, you can plug the value of the slope and the point you were given into a slope equation. This will give you the value of the y-intercept. Using the y-intercept, you can move on to complete the slope equation. represents the y-intercept of the line. coordinate.