What is the slope of the line represented by the equation f(t)=2t−6?

The slope is 2 and the y-intercept is −6.
The slope is −6 and the y-intercept is 2.
The slope is 2 and the y-intercept is 6.
The slope is 6 and the y-intercept is 2.

The given equation is \( f(t) = 2t - 6 \).

This equation is in the slope-intercept form, which is \( y = mx + b \), where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

For the equation \( f(t) = 2t - 6 \):
- The slope \( m \) is 2.
- The y-intercept \( b \) is \(-6\).

So, the correct answer is: **The slope is 2 and the y-intercept is \(-6\).**

Would you like further details or have any other questions?

Here are five related questions to explore further:
1. How do you convert a standard form equation to slope-intercept form?
2. What is the geometric interpretation of the slope?
3. How can you determine the slope of a line if two points on the line are given?
4. What does a negative slope indicate about the direction of a line?
5. How does changing the y-intercept affect the graph of the line?

**Tip:** When working with linear equations, identifying the slope and y-intercept quickly helps you understand the behavior and position of the line on a graph.

Learn how to calculate the slope of a line from the equation f(t) = 2t - 6. Understand the concepts of linear equations and the slope-intercept form with a detailed explanation. Suitable for students in Grades 7-9.

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