A snowball is melting at a rate of 1 cubic inch per minute. At what rate is the radius changing when the snowball has a radius of 2 inches?
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.Sal finds the equation of a line perpendicular to a line given in slope-intercept form that passes through a specific point.
Click on Submit (the arrow to the right of the problem) to solve this problem. You can also type in more problems, or click on the 3 dots in the upper right hand corner to drill down for example problems. Simply knowing how to take a linear equation and graph it is only half of the battle.
You should also be able to come up with the equation if you're given the right information. 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 urbanagricultureinitiative.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.
We'll write the equation of the line that passes through a given point and it makes an angle with the axis of X. (y - y1) = m (x - x1) We know that m = tan a, where a is the angle made by the line. After completing this tutorial, you should be able to: Find the slope of a line that is parallel to a given line.
Find the slope of a line that is perpendicular to a given line.