Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line.
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.Tutorial on Equation of Line. This is a tutorial on how to find the slopes and equations of lines.A review of the main results concerning lines and slopes and then examples with detailed solutions are presented.
EXAMPLE 2 Writing an equation for a line given two points on the line Find an equation for the line through (3, 2) and (1, 1) and solve it for y. Solution We are not given the slope, but we can ﬁnd it because the points (3, 2) and (1, 1). where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis..
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. Jul 07, · How to Find the Slope of an Equation. The slope of a line is a measure of how fast it is changing. You would have to write an equation that reflects the conditions stated in the word problem.
If you can write it in (or change it to) the form y = mx + b, the slope will be the x-coefficient (m). The slope is "undefined" (or. Write the equation in slope-LQWHUFHSW IRUP 62/87,21 Use the two points (±2, 0) and (±2, 2).
Find the slope of the line containing the given points. This means that the slope is undefined.
Because the slope is undefined, it is not possible write and equation in slope intercept . Interactive lesson with video explanation of how to find the slope of a line given two points or its graph whether the slope is positive, negative or undefined or the line is .