A linear equation can be expressed in the form.
Find the slope and the y-intercept of the line. This example is written in function notation, but is still linear. As shown above, you can still read off the slope and intercept from this way of writing it. We can get down to business and answer our question of what are the slope and y-intercept.
In this form, the slope is m, which is the number in front of x. In our problem, that would have to be 2. In this form, the y-intercept is b, which is the constant. In our problem, that would be The answer is the slope is 2 and the y-intercept is Note how we do not have a y.
This type of linear equation was shown in Tutorial If you said vertical, you are correct.
The graph would look like this: Note that all the x values on this graph are 5. 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.
Looking at the graph, you can see that this graph never crosses the y-axis, therefore there is no y-intercept either.
Another way to look at this is the x value has to be 0 when looking for the y-intercept and in this problem x is always 5.
So, for all our efforts on this problem, we find that the slope is undefined and the y-intercept does not exist.Graphing - Parallel and Perpendicular Lines Objective: Identify the equation of a line given a parallel or perpendic- the slope of lines that are perpendicular (meet at a right angle).
This is shown in the following example. Example 1. The above graph has two parallel lines. The slope of the top line is. Linear equations graph as straight lines. A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable.
In a linear equation in x and y, x is called x is the independent variable and y depends on it. Jan 04, · Don't give me just answers, explain! Okay so the directions at the top say,"Write an equation of the line shown in each graph." I am given a graph with points on it, I will give you the points of the graph Status: Resolved.
For example, if the table describes a line, we use the y-intercept and calculate the slope to write the equation. To fully understand this concept, students should know how to plot points and how to interpret graphs.
Memo Line for the Linear Equations Worksheet. You may enter a message or special instruction that will appear on the bottom left corner of the Linear Equations Worksheet. Earlier in the text (section , problems ), there were a series of problems which wrote the equation of a line as: x/a + y/b = 1 Where a was the x-intercept and b was the y-intercept of the line.