Explanation:
Hey there!
The given equation is: - 2x + 3y = 6
Part A:
The slope intercept form equation is: y= mx+c.
So, make the equation in y= mx+c form.
- 2x + 3y = 6
Shift -2x right side;
3y = 6+2x
Divide both sides by 3.
y = (6+2x)/3
y = (2/3)x +2
Therefore, the required equation in slope intercept form is: y = (2/3)x +2.
Part B:
When the equation is in y= mx+c form "c" represents the y-intercept.
So, y-intercept is 2.
Part C:
From the equation y = (2/3)x +2,
The slope (m) = 2/3.
Hope it helps!