Question

Draw the graph of line 2x + y = 5.

Answer 1

Given:

Equation of the line is 2x + y = 5

Formula:

y = 5 − 2x

Solution:

y = 5 − 2(0) = 5  [Calculating y when x = 0 to obtain the point (0, 5)]

y = 5 − 2(1) = 3  [Calculating y when x = 1 to obtain the point (1, 3)]

y = 5 − 2(2) = 1  [Calculating y when x = 2 to obtain the point (2, 1)]

y = 5 − 2(3) = −1  [Calculating y when x = 3 to obtain the point (3, −1)]

∴ Straight line graph passing through (0, 5), (1, 3), (2, 1), and (3, −1)