A line’s slope is a measure of its steepness and direction. It is defined as the change in y coordinate to the change in x coordinate of that line. It is denoted by the symbol m. If two points (x1, y1) and (x2, y2) are connected by a straight line on a curve y = f(x), the slope is given by the ratio of the y-coordinate difference to x-coordinate difference. How to find the equation of a line from two points?
Derivation
Sample ProblemsProblem 1. Find the equation of a line passing through the points (2, 4) and (-1, 2). Solution:
Problem 2. Find the equation of a line passing through the points (4, 5) and (3, 1). Solution:
Problem 3. Find the equation of a line passing through the points (2, 1) and (4, 0). Solution:
Problem 4. Find the y-intercept of the equation of a line passing through the points (3, 5) and (8, 7). Solution:
Problem 5. Find the x-intercept of the equation of a line passing through the points (4, 8) and (1, 3). Solution:
Problem 6. Find the slope of a line passing through the points (2, 7) and (-4, 5). Solution:
Problem 7. Find the slope of a line passing through the points (4, -5) and (6, 7). Solution:
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