How do you find the slope, y-intercept, and x-intercept of y = 3x?

To find the slope, y-intercept, and x-intercept of the equation y = 3x, we can analyze the equation step by step.

Finding the Slope:

The slope of a linear equation in the slope-intercept form is the coefficient of x. In this case, the equation is already in the form y = mx + b, where m is the slope and b is the y-intercept. Here, m = 3. Therefore, the slope of the line is 3.

Finding the Y-Intercept:

The y-intercept is the value of y when x = 0. To find this value, we simply substitute x = 0 into the equation:

y = 3(0) = 0

So, the y-intercept is at the point (0, 0).

Finding the X-Intercept:

The x-intercept is the value of x when y = 0. We set y to 0 and solve for x:

0 = 3x

To find x, divide both sides by 3:

x = 0

This means the x-intercept is also at the point (0, 0).

Summary:

In conclusion, for the equation y = 3x:

• Slope: 3
• Y-Intercept: (0, 0)
• X-Intercept: (0, 0)