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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

1 answer

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:

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