A positive value has the slope going up to the right.
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.Equations of lines come in several different forms.
Two of those are: slope-intercept form; where m is the slope and b is the y-intercept. general form; Your teacher or textbook will usually specify which form you should be using. Explore math with initiativeblog.com, a free online graphing calculator.
Graphing a linear equation written in slope-intercept form, y= mx+b is easy! Remember the structure of y=mx+b and that graphing it will always give you a straight line.
The m variable is the slope of the line and controls its 'steepness'. A positive value has the slope going up to the right. A negative slope goes down to the right.
The b variable is the y intercept - the point where the line crosses the y axis. Adjust the sliders above to vary the values of a and b, and note the effects they have on the graph.. Another form. Example 6: Find an equation of the line that passes through the point (0, -3) and is perpendicular to the line -x + y = 2.
Solution to Example 6: Let m 1 be the slope of the line whose equation is to be found and m 2 the slope of the given line. Rewrite the given equation in slope intercept form and find its slope.
y = x + 2 slope m 2 = 1 ; Two lines are perpendicular if and only their slopes. Ask Math Questions you want answered Share your favorite Solution to a math problem Share a Story about your experiences with Math which could inspire or help others.