Slope Equation

Slope Equation The slope of a line in the plane is an inclined portion of line and it describes its steepness with plane.

The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
if you have 2 points (x1, y1),(x2, y2) then the degree or amount of such inclination can find out by using formula:

Any two distinct points on a nonvertical line can be used to calculate the slope of the line. To measure the slope, you generally move from left to right when measuring the distance travelling horizontally.
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 Slope of a Straight Line  you  can find the equation of any line by finding the slope and y-intercept. To find the slope, we will need two points from the line. If y is a linear function of x, then the coefficient of x is the slope of the line. Then the equation of the line can be written in slope-intercept form, y = mx+b. here m is the slope and b is the y-intercept of the line. This form of a line's equation is called the slope-intercept form. for example Find the slope of  y = 4x + 3. if you compare the equation with y = mx + b then you found the value of m is 4 so the slope will be 4 for the given equation. Statements based on Theorem THEOREM 1 The vertical line through (p, 0) and the horizontal line throudgh (0, q) are represented, respectively, by the equation x = p and y = q THEOREM 2 The line Passing throudh Q1(x1, y1) and having slope m is given be the equation y - y1 = m(x - x1) This is called the point-slope form of the line. THEOREM 3 The line with y-intercept b and slope m is given by the equation y = mx + b. This is called the slope-intercept form of the line.

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