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If there are given two points, (x1, y1) and (x2, y2), then you can write the equation of a line by finding the slope first [slope = m = (y2 - y1)/(x2 - x1)] and using one of the points in order to write the equation in the point-slope form such as
(y - y1) = m(x - x1)
y - y1 = mx - mx1
y = mx - mx1 + y1
y = mx + (y1 - mx1) the slope-intercept form, where m is the slope and (y1 - mx1) is the y-intercept.
mx - y = mx1 - y1 the general form of the equation of the line.
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Can you write the equation of a line with one point on the line?
No, you need either two points, one point and a slope, one point and a y-intercept, or a y-intercept an a slope. You can also write the equation of a line with an equation of another line but you would have to know if it is parallel or perpendicular.
Can you find an equation of the line containing the given pair of points 0 -6 and 4 2?
Suppose the equation of the line is y = mx + c where m and c need to be determined. The slope of the line = (difference in y-coordinates of the two given points)/(difference in x-coordinates of the two given points) = (-6 - 2)/(0 - 4) = -8/-4 = 2 So m = 2 ie the equation of the line becomes: y = 2x + c where c still needs to be determined. The point (0, -6) is on the line. That is, when x = 0, y = -6. Substituting in the equation, -6 = 2*0 + c so that c = -6 and the equation of the line is y = 2x - 6
What is a solution of a linear equation in two variables?
The solution of a linear equation in two variable comprises the coordinates of all points on the straight line represented by the equation.
What are the following points on the line given by the equation y 2x?
As Anand said, the question is vague. However, two important points for any equation are the x and y intercepts. For y = 2x, the x-intercept is (0,0) and the y-intercept is (0,0). Not sure if that helps.
What is the equation of the circle through -2 -4 60 and 15?
Given any two points, there are infinitely many coplanar circles that can go through the two points. And then each circle can be rotated through infinitely many planes about the straight line joining those two points. So as stated, there is not the slightest hope of pinning down an answer.
How can you write the equation for a linear function if you know only two ordered pairs for the functionDrag tiles to complete the explanation.?
the Equation of a Line Given That You Know Two Points it Passes Through.
Why can't you use two data points to write the equation of a line?
Actually, two separate points are enough to determine the line.
Java code equation of a straight line given two points?
Class point
What method can be used to write the equation of a line in slope-intercept form given two points?
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.
How do you write the equation of a line that passes through two points given an example is it possible to find this on a calculator?
No, a calculator is useless, unelss you are dealing with values for x and y which require some difficult working out. Use the general form of a linear equation using two points on the line: y - y1 = (y1 - y2)/(x1 - x2)(x - x1), where the points given are (x1, y1) and (x2, y2).
How do write an equation for a slope?
Given two points, P = (a,b) and Q = (c,d) then provided a ≠c, slope = (d - b)/(c - a). If a = c then the slope is undefined.
How do you find Slope intercept equation of given two points?
Use the equation; y=mx+b where m is the slope Use your 2 points as y and b (intercept)
How do you write a linear equation given two points?
To write a linear equation given two points, you can first calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1). Once you have the slope, you can choose one of the points to substitute into the point-slope form of a linear equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the points.
How do you write a standard form linear equation given two points?
The standard form of a linear equation is y = mx + bwhere m is the slop of the line, and b is the y intercept.If you have two points (x1,y1) and (x2,y2), you can get the slope with the following formula:m = (y2-y1)/(x2-x1)if you plug this number in to the equation you can then plug in any (x,y) point on the line to solve for b.
How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
Can you always write the equation of a line if you know one point on the line?
You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
Can you write the equation of a line with one point on the line?
No, you need either two points, one point and a slope, one point and a y-intercept, or a y-intercept an a slope. You can also write the equation of a line with an equation of another line but you would have to know if it is parallel or perpendicular.
