Final answer:
To write the equations in slope-intercept form, isolate y and rearrange the equation to obtain the form 'y = mx + b'. The slope represents the coefficient of x, while the y-intercept is the constant term 'b'.
Step-by-step explanation:
To write the equation -6x + 3y = 18 in slope-intercept form, we need to isolate y. Rearranging the equation, we get:
3y = 6x + 18
y = 2x + 6
The slope of the equation is 2 and the y-intercept is 6.
For the equation -3(x-2) + 2y = 16, let's simplify it first:
-3x + 6 + 2y = 16
2y = 3x + 10
y = (3/2)x + 5
The slope of the equation is 3/2 and the y-intercept is 5.
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