We will assign a number to a line, which we call slope, that will give us a measure of the "steepness" or "direction" of the line.
In the previous lesson, Calculating Slopeyou learned how to calculate the slope of a line. In this lesson, you are going to graph a line, given the slope. We are still going to use the definition of slope, which is: You must have at least two points to draw a line.
In the next lesson, Graphing with Slope Intercept Form, you will learn the exact point that needs to be plotted first. For right now, we are only focusing on slope.
Look at the numerator of the slope. Count the rise from the point that you plotted. If the slope is positive, count up and if the slope is negative, count down.
Look at the denominator of the slope. Count the run to the right. Repeat the above steps from your second point to plot a third point if you wish.
Draw a straight line through your points. In this example, we are only focusing on how to count the slope and plot the next point. We are not graphing an actual equation. If you need help with graphing an actual equation and need to know which point to plot first, visit our lesson on Slope Intercept Form.
Graphing a Positive Slope Start with the point 0, Plot the 1st point. Since the rise is positive 2, I counted up 2. Since the run is positive 3, I counted to the right 3. Plot your second point. This point is 3,0 5.
Repeat the process to plot a third point. In the next example, we will graph a line with a negative slope. One other thing to think about as we complete Example Can we write -3 as a fraction?
Negative Slopes are Tricky! The trickiest part about graphing slope is knowing which way to rise and run if the slope is negative!
If the slope is negative, then only one - either the numerator or denominator is negative NOT Both! Remember your rules for dividing integers? If the signs are different then the answer is negative! If the slope is negative you can plot your next point by going down and right OR up and left.
Graphing a Negative Slope Start with the point 0,7. Graph a line with a slope of Jul 26, · Write an equation of a line with a slope of 0 and passing through the point (5,4).?
Write an equation of a line with an undefined slope and passing through the point (-2,4).Status: Resolved. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
This is described by the following equation: = .
(The Greek letter delta, Δ, is commonly used in mathematics to mean "difference" or "change".). In mathematics, a recurrence relation is an equation that recursively defines a sequence or multidimensional array of values, once one or more initial terms are given: each further term of the sequence or array is defined as a function of the preceding terms..
The term difference equation sometimes (and for the purposes of this article) refers to a specific type of recurrence relation. Learn how to find the equation of the line with a slope of -3/4 that goes through the point (0,8). Jul 26, · Write an equation of a line with a slope of 0 and passing through the point (5,4).?
And.. Write an equation of a line with an undefined slope and Status: Resolved. Learn to write equations in slope-intercept form for three different lines.