find the graph equation of -1,-2
Sorry, the given information is not sufficient to find the equation of a graph. We need at least a few more points or additional information.
find the graph equation of x-1,y-2
The given information "x-1, y-2" represents a point in the cartesian plane. To find the equation of a graph, we need more points or additional information.
For example, if we have two points in the cartesian plane, say (x1, y1) and (x2, y2), we can find the equation of the line passing through both points using the slope-intercept form of a linear equation:
y - y1 = [(y2 - y1)/(x2 - x1)](x - x1)
Simplifying this equation, we get:
y - y1 = [slope(x - x1)]
where slope = (y2 - y1)/(x2 - x1)
Once we have the equation of the line, we can plot it on the cartesian plane and get the graph.
how do you find the equation of the line
To find the equation of the line, we need at least two points on the line. Let the two points be (x1, y1) and (x2, y2).
We can use the slope-intercept form of the equation of a line, which is:
y - y1 = m(x - x1)
where m is the slope of the line. The slope of the line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Once we have the slope, we can substitute it and one of the points in the equation of the line to get the equation in the form of y = mx + b, where b is the y-intercept (the point where the line crosses the y-axis).
For example, let's find the equation of the line passing through the points (2, 1) and (4, 5):
m = (5 - 1) / (4 - 2) = 2
Using the point (2, 1) and the slope m = 2, we get:
y - 1 = 2(x - 2)
Simplifying, we get:
y = 2x - 3
So, the equation of the line passing through the points (2, 1) and (4, 5) is y = 2x - 3.
what is rise over run
Rise over run is a term used in mathematics to refer to the slope of a line. The slope of a line is the ratio of the vertical change (the rise) to the horizontal change (the run) between any two points on the line.
The rise over run formula for the slope of a line is given by:
slope = (change in y-coordinates) / (change in x-coordinates)
This formula represents the ratio of the difference in the y-coordinates (the rise) to the difference in the x-coordinates (the run) between two points on the line.
For example, let's consider two points (2, 3) and (5, 9) on a line. The rise between the two points is 9 - 3 = 6, and the run between the two points is 5 - 2 = 3. So, the slope of the line is:
slope = (change in y-coordinates) / (change in x-coordinates)
slope = 6 / 3 = 2
So, the rise over run for the line passing through these two points is 2. In general, we use the rise over run formula to find the slope of a line and its direction (positive or negative).
how to find rise over run
To find the rise over run, follow these steps:
1. Choose two points on the line.
2. Label the coordinates of the first point as (x1, y1) and the coordinates of the second point as (x2, y2).
3. Calculate the difference in the y-coordinates (rise) by subtracting y2 from y1: rise = y2 - y1.
4. Calculate the difference in the x-coordinates (run) by subtracting x2 from x1: run = x2 - x1.
5. Write the rise over run as a fraction with the rise as the numerator and the run as the denominator.
The rise over run formula is:
slope = rise / run
Note that if the line is vertical, the run is zero, and the slope is undefined. Similarly, if the line is horizontal, the rise is zero, and the slope is zero.
For example, consider the line passing through the points (2, 3) and (4, 7). The rise between the two points is 4 - 3 = 1, and the run between the two points is 4 - 2 = 2. So, the rise over run is:
slope = rise / run = 1 / 2
Therefore, the slope of the line passing through the points (2, 3) and (4, 7) is 1/2, which represents the rise of 1 unit for every 2 units of run.