Question

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

Answer 1

Given line is
x + y = 5
The graph of the given line is shown below.

From the given line x + y = 5, we get
x + y = 5
y = - x + 5
y = (-1) . x + 5 .......(A)

Again we know that equation of any straight line in the form y = mx + c, where m is the gradient and c is the intercept. Again we have if slope of a line is tan θ then inclination of the line is θ 

Now from the equation (A), we have
m = - 1
tan θ = - 1
tan θ = tan 135°
θ  = 135°
And c = 5
Therefore the required inclination is θ = 135° and y-intercept is c = 5