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Assuming you want the equation of the straight line between the two points (x0, y0) and (x1, y1), the equation is: y - y0 = m(x - x0) where m is the gradient between the two points: m = (y1 - y0) ÷ (x1 - x0) Note: if the two x coordinates are equal, that is x0 = x1, then the equation of the line is x = x0.
. the equation of a straight line can be found by using two points on a line . First find the gradient of the line using the gradient formula . now substitute the gradient into general form replacing "m" . use one of the points and substitute into equation to solve "c" example 1: find the equation of the line which passes through the points (1,3) and (2,5). step 1: find the gradient M=5-3/2-1=2 (/=divide) step 2: place m into the equation Y=2x+c step 3: substitute point into equation 3=2(1)+c step 4: solve C=1 equation is Y=2x+1 hope that helps :)
You can follow the following steps. * First, you determine the slope between the two points. Just calculate delta-y / delta-x (that is, difference in y-coordinates, divided by the difference in x-coordinates, between the two points). * Next, you use the point-slope formula, to get an equation for the line. You can use any of the two points for this; each of the points will give you an equation that looks different, but the two equations are equivalent, if you do everything correctly. * Finally, solve the resulting equation for "y"; that will give you the equation in slope-intercept form.
Actually, two separate points are enough to determine the line.
Yes. You need only two points. If A (ax, ay) and B (bx, by) are two points on the line then the gradient (slope) of the line is m = (by - ay)/(bx - ax) provided bx ≠ ax. From this you can calculate m. Then the general slope-intercept form of the equation is y = mx + c Substitute the coordinates of A or B into this equation to find c. If bx = ax then the line is parallel to the y axis and its equation is x = ax. [There are other methods but they are similar to the above]
To determine the gradient between points b and c, you need the coordinates of both points, typically represented as (x1, y1) for point b and (x2, y2) for point c. The gradient (or slope) can be calculated using the formula: (y2 - y1) / (x2 - x1). This value represents the steepness and direction of the line connecting the two points. If you provide the coordinates, I can help you calculate the gradient.
The height of the land, and the scale of the map
Assuming you want the equation of the straight line between the two points (x0, y0) and (x1, y1), the equation is: y - y0 = m(x - x0) where m is the gradient between the two points: m = (y1 - y0) ÷ (x1 - x0) Note: if the two x coordinates are equal, that is x0 = x1, then the equation of the line is x = x0.
You cannot. You need four coordinates (two horizontal and two vertical) to uniquely identify two points. Having identified the two points, you can determine the slope (or gradient) as [difference in vertical coords]/[difference in horizontal coords] Then use this slope (m) and either of the two points in the equation y = mx + c to determine the value of c.
. the equation of a straight line can be found by using two points on a line . First find the gradient of the line using the gradient formula . now substitute the gradient into general form replacing "m" . use one of the points and substitute into equation to solve "c" example 1: find the equation of the line which passes through the points (1,3) and (2,5). step 1: find the gradient M=5-3/2-1=2 (/=divide) step 2: place m into the equation Y=2x+c step 3: substitute point into equation 3=2(1)+c step 4: solve C=1 equation is Y=2x+1 hope that helps :)
The electric field equation describes the strength and direction of the electric field at a point in space. Voltage, on the other hand, is a measure of the electric potential difference between two points in an electric field. The relationship between the electric field equation and voltage is that the electric field is related to the gradient of the voltage. In other words, the electric field is the negative gradient of the voltage.
In coordinated geometry the points on a straight line will determine its equation.
The approximate gradient of the hill between points x and y can be calculated by taking the difference in elevation between the two points and dividing it by the horizontal distance between them. This is often expressed as the rise over run. If the elevation at point x is higher than at point y, the gradient will be negative, indicating a downhill slope, while a positive gradient indicates an uphill slope. The steeper the hill, the larger the absolute value of the gradient.
Plug the x-values into the original equation. If you get the same y-values, then the points are valid.
alternatives to determine the equation straight line through two points?
A line is the locus of points such that the gradient (slope) between that point and one fixed point in the plane is a constant. Technically, that definition does not include a vertical line because its gradient is not defined! You could get around that this by requiring that either the gradient is a constant or, if it is undefined, then the inverse gradient (dx/dy) is constant.
You can follow the following steps. * First, you determine the slope between the two points. Just calculate delta-y / delta-x (that is, difference in y-coordinates, divided by the difference in x-coordinates, between the two points). * Next, you use the point-slope formula, to get an equation for the line. You can use any of the two points for this; each of the points will give you an equation that looks different, but the two equations are equivalent, if you do everything correctly. * Finally, solve the resulting equation for "y"; that will give you the equation in slope-intercept form.