The given equation is:
[tex]y\text{ = }\frac{-3}{2}x\text{ + 1}[/tex]
This takes the form of the slope-intercept form of the equation of a line :
y = mx + c
where m is the slope
and c is the intercept
Comparing the two equations:
m = -3/2
c = 1
This means that the line touches the y axis on the point y = 1
And for every -3 unit movement on the y axis, there is a movement of 2 unit on the x axis
The graph is plotted below:
