Formula for Slope Formula for Slope The slope between the two points is defined as the ratio of the altitude change to the horizontal distance between any two points on the line .The slope or we can say its gradient of line which describes its grade and the value which is higher indicates a steeper incline. It is not defined for horizontal or vertical lines. The Formula for Slope ‘m’ of the line through the given points (x1, y1) and (x2, y2) is given bym = y2 - y1 ; x2 - x1 Where
( x1 ≠ x2 ),
example1: -Find the slope of the line segment joining the points (2, -5) and (-5, 2)? Solution: - Slope of the line segment joining the points (2, -5) and (-5, 2). Where the point as x1 = 2, y1 = -5 and x2 = -5, y2 = 2
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To find the slope m of the line segment joining the points, use the slope formula. i.e. Slope = m = y2 - y1 ; x2 - x1 On putting the value of x1, y1 and x2, y2 in the given slope formula. m = 2 – ( - 5) ; (-5) – 2 m = 2 + 5; -7 m = 7 = -1 -7 After solving the equation we get the value of slope m = -1; Example 2: - Find the slope of the line segment joining the points (8, -6) and (9, -9)? Solution: - Slope of the line segment joining the points (8, -6) and (9, -9). Where the point as x1 = 8, y1 = -6 and x2 = 9, y2 = -9. To find the slope m of the line segment joining the points, use the slope formula. i.e. Slope = m = y2 - y1 ; x2 - x1
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On putting the value of x1, y1 and x2, y2 in the given slope formula. m = ( -9 ) – ( - 6) ; (9) – 8 m = -9 + 6; 1 m = -3 = -3, 1 After solving the equation we get the value of slope m = -3. Example3: - Find the slope of y = -3x + 4? Solution: - Given the value y = -3x + 4; In this equation if we put the value of x then we will find the value of y. Suppose we put the value of x = -1 in the given equation. y = -3x + 4; Put x = -1; then we get y = -3(-1) + 4; y = 3 + 4; y = 7;
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