The equation y-2=3(x + 1) is in point-slope
form. Which is the slope-intercept form?
Dy=3x + 1
Oy=3x-3
Dy=3x+5
The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the y-intercept.
In the given equation, y - 2 = 3(x + 1), we can simplify it:
y - 2 = 3x + 3
y = 3x + 5
Therefore, the slope-intercept form of the equation is: Dy = 3x + 5.
To convert the given equation from point-slope form to slope-intercept form, we need to isolate y on one side of the equation.
Starting with the equation y - 2 = 3(x + 1), we can distribute the 3 to the terms inside the parentheses:
y - 2 = 3x + 3
Next, we can isolate y by adding 2 to both sides of the equation:
y = 3x + 3 + 2
This simplifies to:
y = 3x + 5
Therefore, the slope-intercept form of the given equation is Dy = 3x + 5. Option C, Dy = 3x + 5, is the correct choice.