Answer:
- slope: -5/3
- y-intercept: 2
- x-intercept: 6/5 = 1.2
Explanation:
Finding the slope is perhaps easiest done by solving for y.
5x -6 = -3y . . . . subtract 3
y = -5/3x +2 . . . divide by -3
This is slope-intercept form, so we can see both the slope (the coefficient of x, -5/3) and the y-intercept (the constant, +2).
__
To find the x-intercept, we set y=0 and solve for x. This might be most easily done using the original equation:
5x -3 = 0 +3 . . . . set y = 0
5x = 6 . . . . . . . . . add 3 to get the x-term by itself
x = 6/5 = 1.2 . . . . divide by the coefficient of x. This is the x-intercept.
__
Slope = -5/3
y-intercept = 2
x-intercept = 6/5