write in standard form y+4=1(x-2)
Can you explain how to get the answer
y+4 = x-2
y = x - 6 ---> usually called the y intercept - slope form
or
x - y = 6 ---> some texts call this standard form
and this
x-y - 6 = 0 ---> general form
thanks
Sure! The given equation is currently in point-slope form, which is in the format of y - y1 = m(x - x1), where (x1, y1) represents a point on the line and m represents the slope of the line.
To convert the equation into standard form, which is in the format Ax + By = C, we need to eliminate the parentheses and simplify the equation.
Let's start by distributing the 1 on the right side of the equation:
y + 4 = 1(x - 2)
y + 4 = x - 2
Now, let's eliminate the parentheses:
y + 4 = x - 2
Next, rearrange the equation by subtracting x from both sides:
y - x + 4 = -2
Now, if we want the equation to be in standard form, we need to have the coefficients of x and y as integers and make sure that the leading coefficient A is positive. To achieve this, we can multiply the entire equation by -1:
-(y - x + 4) = -(-2)
-y + x - 4 = 2
Finally, let's rearrange the equation by moving all terms to one side:
y - x + 2 = 0
So, the equation y + 4 = 1(x - 2) in standard form is y - x + 2 = 0.