Final answer:
To rewrite the equation 3x - y = 1 in slope-intercept form, we can isolate y on one side by performing necessary operations. The slope-intercept form of the equation is y = 3x - 1.
Step-by-step explanation:
To rewrite the equation 3x - y = 1 in slope-intercept form, we need to isolate the variable y on one side of the equation. First, let's move the term 3x to the other side by adding 3x to both sides of the equation:
-y = -3x + 1
Next, we want to move the negative sign in front of y to the other side of the equation by multiplying both sides by -1:
y = 3x - 1
So, the equation 3x - y = 1 can be rewritten in slope-intercept form as y = 3x - 1, where the slope m is 3 and the y-intercept b is -1.
Learn more about slope-intercept form of an equation