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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.
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One way to find the equation of a line is to look at some points on it and try to find the relationship between the coordinates?
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]
How can you find equation of the line passing thruogh two points?
. 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 :)
What is the difference between linear equations and linear inequalities?
It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.
How do you find the equation for the line of best fit?
There are many ways, but probably you aren't in a statistics class, but in an algebra class. Step 1 plot all the data points on a coordinate plane graph (x-y graph) Step 2 estimate a line 'close' to points. Step 3 use 2 points ON THE LINE (these do not need to be data points) Step 4 find slope of line using points from step 3 Step 5 use point-slope formula to write the equation.
Write the equation of the line that passes through the points 12 and 6 and 12 and -4?
Write the equation of the line that passes through the points (3, -5) and (-4, -5)
