Final answer:
The slope-intercept form of the equation y-2=3(x+1) is y = 3x + 5.
Step-by-step explanation:
The equation y-2=3(x+1) is in point-slope form. To convert it into slope-intercept form, we need to isolate y on one side of the equation and rewrite it as y = mx + b, where m represents the slope and b represents the y-intercept.
Let's solve for y:
y - 2 = 3(x + 1)
y - 2 = 3x + 3
y = 3x + 3 + 2
y = 3x + 5
So, the slope-intercept form is y = 3x + 5.
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