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Find the slope and y intercept of the functions shown in the table

X 0 5
Y 1 -9

The slope is *blank*

The y intercept is *blank*

A (1,0)

B 2

C -2

D -1/2

E (2,0)

F 1/2

G (0, 1)

Use the options above

1 answer

To find the slope and y-intercept of the function defined by the points given in the table (X: 0 and 5, Y: 1 and -9), we can use the formula for slope \( m \):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Substituting the values from the table:

  • \( x_1 = 0 \), \( y_1 = 1 \)
  • \( x_2 = 5 \), \( y_2 = -9 \)

Let's calculate the slope:

\[ m = \frac{-9 - 1}{5 - 0} = \frac{-10}{5} = -2 \]

Now, the y-intercept is the \( y \)-value when \( x = 0 \). From the table, when \( x = 0 \), \( y = 1 \). So, the y-intercept is 1.

Therefore, we have:

  • The slope is -2.
  • The y-intercept is 1.

Filling in the blanks based on the options given:

  • The slope is C -2.
  • The y intercept is G (0, 1).