Given the linear equation below

To determine the slope and the x and y intercepts
Solution:
Make y the subject of the linear equation

Making y the subject of the linear equation gives the slope-intercept form of a linear equation
The slope-intercept form of a linear equation is

Let us compare:

To get the x-intercept, make y = 0

Hence,
The equation of the line in slope-intercept form is y = 5/3x - 5
Slope = 5/3
y-intercept is (0,-5)
x-intercept is (3,0)