Find the angle, correct to two decimal places, that the lines joining the given points make with the positive direction of the x-axis. (0,-5) (-5,0)

Solution:

Equation of line in intercept form , if it cuts X axis at (a,0) and Y axis at (0,b) is :

      =

So, equation of line passing through (-5,0) and (0,-5) is  

        =

       →x + y = -5

     →→y= -x -5

Comparing with slope intercept form of line which is , y= m x + c

m =-1

tanФ=-1

tanФ=tan 135°

Ф= 135°

The angle made by line x+y =-5 with positive direction of x- axis is 135° or in terms of Radian.

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5