Draw the graph of line x + y = 5. Use the graph paper drawn to find the inclination and the y-intercept of the line.

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = (-1), then (-1) + y = 5 ⇒ y = 6

Let x = 0, then 0 + y = 5 ⇒ y = 5

Let x = 1, then 1 + y = 5 ⇒ y = 4

Let x = 5, then 5 + y = 5 ⇒ y = 0

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line passing through the points plotted on the graph.

From the graph, inclination of the line = θ = 135° and y-intercept of the line = OB = 5.

Hence, inclination = 135° and y-intercept of the line = 5.