Question

Please help what are the slope and the y intercept of the linear function that is represented by the table?

Answer 1

Answer:

The slope is -2, the y-intercept is 12

Step-by-step explanation:

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1}$

Chose any two coordinates pair. Let's make use of:

$(0, 12) = (x_1, y_1)$

$(3, 6) = (x_2, y_2)$

Thus,

$slope (m) = \frac{6 - 12}{3 - 0}$

$slope (m) = \frac{-6}{3}$

$slope (m) = -2$

Using the slope-intercept equation, find the y-intercept, b, as follows:

$y = mx + b$

Use any coordinate pair as x and y, then solve for b.

Let's use (3, 6)

$6 = (-2)(3) + b$

$6 = -6 + b$

Add 6 to both sides

$6 + 6 = - 6 + b + 6$

$12 = b$

The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.