Practice Problem 1a - 1b: Find the slope of the straight line that passes through the given points. Practice Problems 2a - 2c: Find the slope and the y -intercept of the line. Practice Problems 3a - 3b: Determine if the lines are parallel, perpendicular, or neither. Practice Problem 4a: Determine the slope of the line. Need Extra Help on these Topics?
After completing this tutorial, you should be able to: Find the slope given a graph, two points or an equation. This tutorial takes us a little deeper into linear equations. Rise means how many units you move up or down from point to point. On the graph that would be a change in the y values.
The subscripts just indicate that these are two different points. It doesn't matter which one you call point 1 and which one you call point 2 as long as you are consistent throughout that problem. Make sure that you are careful when one of your values is negative and you have to subtract it as we did in line 2.
Example 2 : Find the slope of the straight line that passes through 1, 1 and 5, 1. It is ok to have a 0 in the numerator. Remember that 0 divided by any non-zero number is 0. Example 3 : Find the slope of the straight line that passes through 3, 4 and 3, 6.
Since we did not have a change in the x values, the denominator of our slope became 0. This means that we have an undefined slope. If you were to graph the line, it would be a vertical line, as shown above. If your linear equation is written in this form, m represents the slope and b represents the y -intercept. Example 4 : Find the slope and the y -intercept of the line. Lining up the form with the equation we got, can you see what the slope and y-intercept are?
Example 5 : Find the slope and the y -intercept of the line. This example is written in function notation, but is still linear. After all, if there's no definition, then what is there to graph? If you take the previous example of a slope-less line and change the intercept point to 6,0 instead, the standard linear equation falls apart as there's no slope and no y intercept to graph from.
Holding a BS in computer science and several years of experience building, repairing and maintaining computers and electronics, Jack Gerard has had a love of science and mathematics for years.
What Is an Infinite Slope? How to Interpret Linear Equations. How to Find Slope From an Equation. The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m.
A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope. Thus that line is horizontal slope of 0. Thus that line is vertical undefined slope. Because a slope of 07 is 0 this is the slope of a horizontal line. The line perpendicular to this would be a vertical line. A vertical line, by definition, has an undefined slope. A vertical line has undefined slope because all points on the line have the same x-coordinate.
As a result the formula used for slope has a denominator of 0, which makes the slope undefined.. A Zero Slope has a value of zero, which is determined.
An Undefined Slope has zero as its denominator. Intuitively, we can think of the slope as measuring the steepness of a line. The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically i. As stated above, horizontal lines have slope equal to zero. This does not mean that horizontal lines have no slope. Functions represented by horizontal lines are often called constant functions.
Vertical lines have undefined slope.
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