How do you prove that a line is parallel to the y-axis?
A line that is parallel to the y-axis is of the form ‘x=k’, where ‘k’ is any real number and ‘k’ is the distance of the line from the y-axis. For example, the equation of a line which is of the form x = 3 is a line parallel to the y-axis and is 3 units away from the y-axis.
How do you know if a slope is infinite?
An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn’t move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis 0.
What does it mean when a slope is infinity?
An undefined slope or infinite slope, means the line is neither moving to the left nor to the right such as the case of a vertical line.
What type of slope if the graph is parallel to y-axis?
The slope of a line parallel to the y -axis has a slope that is undefined.
How do you find the y-axis?
The y-axis is a vertical line along x = 0. This means any point on the y-axis has an x-coordinate of 0, including the y-intercept of the line. Plug in 0 for x in the line equation. Solve for y.
What is an example of an infinite slope?
The term infinite slope is used to designate a constant slope of infinite extent. The long slope of the face of a mountain is an example of this type, whereas finite slopes are limited in extent. The slopes of embankments and earth dams are examples of finite slopes.
How do you write an infinite slope?
- An infinite slope is the slope of a vertical line.
- All strait lines in a cartesian coordinate system, except the vertical lines, can be expressed analytically by a function of the form:
- y = ax + b.
- For the vertical lines:
How do you find a parallel slope?
First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the line is -3/8. A parallel line will have the same slope, thus -3/8 is the correct answer.