# Find the slope and the y-intercept of the equation y − 3(x − 1) = 0.

The slope of any line is the inclination of the given line with respect to the x-axis. They are used to extract important information from lines.

## Answer: The slope of the equation y - 3(x - 1) = 0 is 3 and the y-intercept of the equation is 3 in the negative direction or -3.

Let's understand the solution in detail.

**Explanation:**

We can rearrange the given equation in the form of y = mx + c, where m is the slope and c is the y-intercept.

Hence, when we simplify the equation,

⇒ y - 3(x - 1) = 0

⇒ y - 3x + 3 = 0

⇒ y = 3x - 3

Hence, comparing from the above general form, we get m = 3 and c = -3.

We can also find the y-intercept by substituting x = 0 in the equation.

⇒ y - 3(x - 1) = 0

⇒ y - 3(0 - 1) = 0

⇒ y - 3(-1) = 0

⇒ y = -3