Answer:
Step-by-step explanation:
The equation of a straight line is represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
2x + 3y = 6
Rearranging the equation to take the slope intercept form, it becomes
3y = - 2x + 6
Dividing through by 3, it becomes
y = - 2x/3 + 2
Comparing with the slope intercept form,
slope = - 2/3
y intercept = 2