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 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
By substitution
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 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.
So that you can plot out the points of a straight line on graph paper.