Question

x0
2

4

6

8

y-1-2-3-4-5

A) Do the values in the table above represent a linear function?

Yes, it represents a linear

く

B) If you said it's a linear function, justify your answer.

Because the x-values increase by 1 as the y-values decrease by 2

What is the slope of the line that goes through the points in the table?

m= -1/2

Y-Intercept = -1

Give me the slope-intercept form

Answer 1

To determine the slope-intercept form of the equation of a line, we use the formula:

\[ y = mx + b \]

where:
- \( m \) is the slope,
- \( b \) is the y-intercept.

From your information:
- The slope \( m = -\frac{1}{2} \)
- The y-intercept \( b = -1 \)

Substituting these values into the slope-intercept form, we get:

\[
y = -\frac{1}{2}x - 1
\]

So, the slope-intercept form of the equation is:

\[
y = -\frac{1}{2}x - 1
\]