To write the equation in slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Starting with y - 2 = 3/2(x + 2):
Distribute the 3/2 to both terms inside the parentheses:
y - 2 = 3/2 * x + 3/2 * 2
Simplify the right side:
y - 2 = 3/2 * x + 3
Add 2 to both sides of the equation to isolate y:
y = 3/2 * x + 3 + 2
Simplify:
y = 3/2 * x + 5
The equation in slope-intercept form is y = 3/2x + 5.
Write y - 2 = 3/2 (x+2) in slope Intercept form
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