to formulate the equation of a line that passes through two given points (x1,y1) and (x2,y2), you can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
To find the slope, you can use the formula: m = (y2 – y1)/(x2 – x1)
Once you have the slope, you can substitute it along with one of the given points into the slope-intercept form to solve for b.
For example, if the two given points are (2,4) and (5,7), the slope is (7-4)/(5-2) = 1. Therefore, the equation of the line is y = x + b. To solve for b, we can substitute one of the points, say (2,4): 4 = 2 + b. Solving for b, we get b = 2.
Thus, the equation of the line that passes through (2,4) and (5,7) is y = x + 2.
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