Question

Draw the graph of x + 2y = 6 and find the coordinates of the points where the lines cuts the x axsi and y axis

Answer 1

Answer:

To draw the graph for the given linear equation, we need to first plot the points which lie on it, join them to get a straight line.

Given, equation is 3x+2y=6=>y=−

2

3

x+3

Substitute different values of x in the equation and calculate to get corresponding values of y.

x

y=−

2

3

x+3

Point (x,y)

0

3 (0,3)

2 0 (2,0)

4 −3 (4,−3)

−2 6 (−2,6)

−4 9 (−4,9)

Plot these points on the graph paper and join them using a straight line.

On observing the graph, we find that the line meets the x-axis at (2,0) and the y - axis at (0,3).

solution