Question

draw a graph of linear equation 2(x+1)=3(y-1)-4 and check whether the point (3,-1) lies on the line​

Answer 1

Answer:

Start by simplifying the equation, so working on it becomes easier:

2(x+1)=3(y−1)−4

=>2x+2=3y−3−4

=>3y=2x+9

=>y=23x+3

Now, draw a ‘Truth Table’, that contains certain values of x (which you can choose to be close to the origin to fit in your graph paper) on the top row, and corresponding values of y on the bottom row that can be calculated using the equation above. Any two points are enogh, but you can choose more, just to be safe.

| x | -1 | 0 | 1 |

| y | 73 | 3 | 113

Now, plot these points on your graph paper after drawing the axes, using a sharp pencil. Join the points with a straight edge.

Check, whether the point (3, -1) lies on the line.