You measure the gradient, which is rise/run or (change in vertical direction)/(change in horizontal direction). This is denoted by m. You also measure the height of the y-intercept: this is c.Then the equation is y = mx + c.
An equation of a line requires two parameters. The slope, by itself, is not enough.
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To determine which points are on the line given by the equation ( y = 2x ), you can substitute the x-coordinate of each point into the equation and see if the resulting y-coordinate matches the point's y-coordinate. For example, if you have the point (1, 2), substituting ( x = 1 ) gives ( y = 2(1) = 2 ), so this point is on the line. Repeat this process for each point to find which ones satisfy the equation.
To determine if a point is on a line, you can use the equation of the line. For example, if the line is represented by the equation (y = mx + b) (slope-intercept form), substitute the x-coordinate of the point into the equation to see if the resulting y-value matches the point's y-coordinate. If they match, the point lies on the line; if not, it does not. Alternatively, you can use other forms of the line equation, such as standard form, to perform a similar check.
Subtract the equation of one line from the equation of the other
In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.
An equation of a line requires two parameters. The slope, by itself, is not enough.
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By finding the line of best fit and using the straight line equation formula.
To determine which points are on the line given by the equation ( y = 2x ), you can substitute the x-coordinate of each point into the equation and see if the resulting y-coordinate matches the point's y-coordinate. For example, if you have the point (1, 2), substituting ( x = 1 ) gives ( y = 2(1) = 2 ), so this point is on the line. Repeat this process for each point to find which ones satisfy the equation.
To determine if a point is on a line, you can use the equation of the line. For example, if the line is represented by the equation (y = mx + b) (slope-intercept form), substitute the x-coordinate of the point into the equation to see if the resulting y-value matches the point's y-coordinate. If they match, the point lies on the line; if not, it does not. Alternatively, you can use other forms of the line equation, such as standard form, to perform a similar check.
Subtract the equation of one line from the equation of the other
If the x intercept is a and the y intercept is b, then the equation of the line is bx + ay = ab
As for example in the straight line equation of y=3x+5 the slope is 3 and the y intercept is 5
By substitution
The question is suppose to read: Find the equation of the line tangent to y=(x²+3x)²(2x-2)³, when x=8
Substitute the coordinates of the point into the equation of the line. If the result is true, then the point is on the line.