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Posted on April 24, 2022 (Updated on July 9, 2025)

What is the slope of a line parallel to Y?

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The slope of the equation of line parallel to y axis is undefined. The line parallel to y axis is at an angle of 90º to the x – axis and the slope of this line is tan90º, which is undefined.

What is the slope parallel to Y?

no slope

A line parallel to the y-axis that is vertical line has no slope.

What is the slope of a line parallel to Y =- 2?

All lines that are parallel to y=2 have the same slope of 0 .

When a line is parallel with the y-axis the slope is?

The slope of a line parallel to the y -axis has a slope that is undefined.

What is the slope of a parallel line?

The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

Does y-axis have a slope?

The y‐axis or any line parallel to the y‐axis has no defined slope.

What is the slope of the y-axis explain?

Explanation: The slope of the x axis is 0 . The slope of the y axis is undefined.

How do you find slope and y-intercept?

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = − 7 x + 4 , we see that the y-intercept of the line is 4.

What if tangent is parallel to y-axis?

Slope can also be written as $ m = \dfrac{{dx}}{{dy}} $ , where $ dx $ is the change in x-coordinates and $ dy $ is the change in y-coordinates. But the tangent line is parallel to the y-axis, just its y-coordinates will be changing keeping the x-coordinates constant. So, the correct answer is “Option B”.

What about if it is parallel to y-axis?

Line Parallel to y-axis

A line that is parallel to the y-axis is x = k, where ‘k’ is a constant value. This means that for any value of ‘y’, the value of ‘x’ is the same.

How do you find a slope?

Find slope by finding the difference in the y points, and divide that by the difference in the x points.

  1. The difference between y coordinates Δy is.
  2. The difference between x coordinates Δx is.
  3. Divide Δy by Δx to find slope m.

What is the slope of a line perpendicular to the y-axis?

The y-axis is a vertical line. A vertical line has a slope of 10 which is undef or undefined. The negative reciprocal would be 01 or 0 . So, the slope of the perpendicular would be 0 .

How do you find perpendicular to y-axis?

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 of the following is the slope of a line parallel to the line y 2 3x 4?

23

Using the slope-intercept form, the slope is 23 . All lines that are parallel to y=2×3+4 y = 2 x 3 + 4 have the same slope of 23 .

Why slope of y-axis is undefined?

The slope of a vertical line is undefined, and can not be found. This is because the denominator of the rise over run fraction is always 0.

Which equation represents a line parallel to the y-axis?

Thus, if P(x, y) is any point on AB, then x = a. Hence, the equation of a straight line parallel to y-axis at a distance a from it is x = a. The equation of y-axis is x = 0, since, y-axis is a parallel to itself at a distance 0 from it.

What does it mean when the slope of a line is undefined?

What is an Undefined Slope? The undefined slope is the slope of any vertical line that goes up or down. There is no horizontal movement and hence the denominator is zero while calculating the slope. Thus the slope of the line is undefined.

Is a slope of 0 undefined?

Well you know that having a 0 in the denominator is a big no, no. This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined. Now let’s look at the y-intercept.

How do you find the y-intercept of an undefined slope?

y=mx + b When the equation is in this form, the coefficient of x will be the slope and the y-intercept will be (0,b). If the denominator of the fraction is 0, the slope is undefined. This occurs if the x value is the same for both points.

What is the y-intercept of an undefined line?

Explanation: An undefined slope means a vertical line. The equation of the vertical line passing through (0,6) is x=0 . The y axis has the equation x=0 too, so the line and the axis intercept at all points of the y axis.

How do you find an undefined slope?

A vertical line has undefined, or infinite, slope. If you attempt to find the slope using rise over run or any other slope formula, you will get a 0 in the denominator. Since division by 0 is undefined, the slope of the line is undefined. The equation of a line with undefined slope will look like x = ‘something.

What would the y-intercept be if the slope is 0?

If the slope of a line is zero then the line is horizontal, and if the y-intercept is -2, then the horizontal line goes through: y=−2 , which is also the equation of such line.

How do you find the y-intercept?

When an equation is not in y = mx + b form, we can solve for the intercepts by plugging in 0 as needed and solving for the remaining variable. To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x.

What is the equation of a line with a y-intercept of − 3 and a slope of 5?

Therefore required equation of line is y=3x+5.

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