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Write an equation in point slope form of the line through points with slopes

Cast iron has some architectural advantages, and some weaknesses. It is strong in compression, but weak in tension and bending.

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. However, when you begin using the slope formula discussed in the next section, it can become confusing to have too many formulas for slope.

If you are given an equation in any other form, you should put it in slope-intercept form to find the slope. Given Two Points Suppose you know that a line goes through the points -1, 3 and 4, You do not have a graph although you could draw one and you do not have the equation of the line that goes through those points.

In this situation, you need to know the formula for the slope of a line. If you are given two points x1, y1 and x2, y2.

The formula for finding slope is This formula is where some of the different descriptions of slope come from. One thing that some students have trouble with is the notation in the formula. The 1 and 2 that are used below each x and y are just used to indicate that we are pairing up a certain x with a certain y.The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and schwenkreis.com are an idealization of such objects.

Until the 17th century, lines were defined in this manner: "The [straight or curved] line is the first species of quantity, which has only one dimension, namely length, without any width.

Standard Form and Intercepts Algebra On a graph, the x-intercept is where the line crosses the x-axis. The y-intercept is where a line crosses the y-axis. Practice: Look at the graphs below and give the coordinates of the x and y-intercepts.

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).

Download the latest version of PCSWMM and browse update history. Slope-Intercept Method: Probably the most common way to graph a line is put the equation in the infamous \(\boldsymbol{y=mx+b}\) form: graph the \(y\)-intercept point first, and then use the slope to go back and forth, and up and down from that first point..

For our equation \(\displaystyle y=-\frac{2}{3}x-2\), the slope \(\displaystyle m=-\frac{2}{3}\), and the \(y\)-intercept \(b\) = –2. K Rotary System Designed for the advanced laser user, the K is feature-packed to tackle any job. It self-levels both horizontally and vertically, making vertical layout such as fencing and drywall track effortless, and it's dual-slope mode takes the math out of the equation when checking grade or setting drainage.

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Math Questions With Answers (6): Slope and Lines