Consider the equation

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Equations in Two Variables · Linear Equations in Two Variables

Problem

Consider the equation 2x+y=102x + y = 10. (i) Show that the points (1,8)(1,8) and (4,2)(4,2) satisfy the equation. (ii) Draw the straight line that represents the equation, using the two points given in part (i) along with any two additional points of your choice. (iii) The line obtained in part (ii) meets the coordinate axes at two points. Calculate the area of the triangle formed by the line and the two axes.

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