![]() ![]() ![]() The intercept form of the equation of a line makes a right triangle with the coordinate axes, and the area of this right triangle is 1/2.Based on the sign of the intercepts we can find the quadrants through which the line passes through.The intercept form of the equation of a line makes the x-intercept of 'a' units, and the y-intercept of 'b' units.The intercept form of the equation of a line is x/a + y/b = 1.The following points help in clearly understanding the details of the intercept form of the equation of a line. The equation of the line passing through the two points (a, 0), and (0, b) respectively is as follows. The equation of a line passing through the two-points (a, 0), and (0, b) can be found using the two-point form of the equation of a line. The two point form of equation of a line requires two points on the line. Here we derive the intercept form of the equation of the line from the two-point form of equation of a line. The intercept form of the equation of the line can be derived from the other forms of equations of a line. Further, the intercept form of the equation of a line can be simplified and represented as the standard form of the equation of a line as bx + ay = ab. Since this line cuts both the coordinate axes, it makes a right triangle with the coordinate axes, and the area of the right angled triangle is equal to the product of half of its intercepts 1/2 Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. Intercept Form of Equation of a Line: x/a + y/b = 1. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b). The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept. ![]()
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