
Question content area top

Part 1

Find the linear​ function, 

​f(x)equals=mxplus+​b, 

whose graph has the given slope and​ y-intercept.  

Slope is 

minus−StartFraction 17 Over 13 EndFraction1713 

and​ y-intercept is 

​(0,negative 6−6​).

To find the linear function \( f(x) = mx + b \) with the given slope and \( y \)-intercept, we'll use the provided information:

### Given:
- Slope \( m = -\frac{17}{13} \)
- \( y \)-intercept \( b = -6 \) (which means the point \( (0, -6) \) is on the graph)

### Form of the Linear Function:
The general form of a linear function is:
\[
f(x) = mx + b
\]

### Substitute the Given Values:
\[
f(x) = -\frac{17}{13}x - 6
\]

So, the linear function is:
\[
f(x) = -\frac{17}{13}x - 6
\]

Would you like more details or have any questions?

Here are five related questions to further your understanding:

1. What is the slope-intercept form of a linear equation?
2. How do you determine the slope and \( y \)-intercept from a given equation?
3. How would the graph of this function look on the Cartesian plane?
4. Can you convert the equation to standard form \( Ax + By = C \)?
5. What does the slope tell us about the direction of the line?

**Tip:** The \( y \)-intercept is the value of \( y \) when \( x = 0 \). It indicates where the line crosses the \( y \)-axis.

Learn how to find the linear function f(x) = mx + b with a slope of -17/13 and a y-intercept of -6. This problem involves applying the slope-intercept form of a linear equation and understanding the relationship between slope and y-intercept. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation