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Site Navigation Investigating Slopes of Lines Often when a student hears the word slope, many different things come to mind. What can be confusing is that all of these descriptions are correct. Slope is a characteristic of a line and can either be positive or negative.
This graph has a positive slope. When you look at the line going from left to right, it appears as if you are going up a hill. Another way to describe what is happening is to say that as the x-values increase the y-values also increase.
Whenever both the x and y variable change in the same direction, the slope of the line will be positive. The graph below has a negative slope. When you look at the line going from left to right, it appears as if you are going down a hill.
You can also say that as the x-values are getting larger, the y-values are getting smaller. When the x and the y variable change in opposite directions, the slope will be negative.
How Can I Find Slope? The answer to this question depends on the type of information you are given. Given A Graph As seen from the previous graphs, you can make a determination about the slope of a line simply by looking at a graph.
Depending on the amount of detail shown on the graph, it may be possible to find an exact value for the slope or you may only be able to tell whether the slope is positive or negative. If you cannot determine particular points on the graph, you will only be able to describe slope as being positive or negative.
Is the slope of the graph below positive or negative? The slope of this graph is negative.
As we move along the line from left to right, we are going down a hill which means the slope is negative. The slope of this graph is positive.
As we move along the line from left to right, we are going up a hill which means the slope is positive. When it is possible to read two points from a graph, you can find an exact value for slope.
Given An Equation Equations of lines can be presented in many forms.
The easiest form to work with for finding slope is called the slope-intercept form of a line and is written as. In this form, m is the slope and b is the y-intercept. In this lesson, we will only talk about the slope.
For more information on the y-intercept, click here. When you are given an equation in slope-intercept form is given, you can quickly determine that the slope of that line is When a line is given in a different form, it requires a little more work to find the slope.
Sometimes lines are given in general form, which is written as. This form is useful for finding intercepts another link to linear equations intercepts. Since finding slope from the slope-intercept form of a line is so easy, you should change the general form into slope-intercept form to find the slope.
From this form, you can determine that the slope is. When given the general formsome students like to just find the slope by using.Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
passing through (9,-7) and perpendicular to the line whose equation is y=1/3x+4 point slope form: y+7=-3(x-9). You can find the straight-line equation using the point-slope form if they just give you a couple points: Find the equation of the line that passes through the points (–2, 4) and (1, 2).
I've already answered this one, but let's look at the process. Hoek,Brown Underground Excavation in Rock - Ebook download as PDF File .pdf), Text File .txt) or read book online.
The slope of this graph is positive. As we move along the line from left to right, we are going up a hill which means the slope is positive. When it is possible to read two points from a graph, you can find an exact value for slope.
To see how this is done go to the section “Given Two Points” later in the lesson. Set the drawing transformation matrix for combined rotating and scaling. This option sets a transformation matrix, for use by subsequent -draw or -transform options.. The matrix entries are entered as comma-separated numeric values either in quotes or without spaces.
Write an equation in point-slope form showing the relationship between the number of cards to the cost? y - 2 = 1/3(x - 6) OR y - 4 = 1/3(x - 12) Write an equation in slope-intercept form of the line that passes through the given point and has the given slope m.