Question

Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

The equation of the linear function represented by the table in slope-intercept form is y = -5x + 1.

What is the Slope-intercept form?

To find the equation of the linear function in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we need to follow these steps:

Find the slope (m) using any two points from the table. Let's use the points (-3, 16) and (1, -4):

`m = \frac{\text{Change in } y}{\text{Change in } x} = (-4 - 16)/(1 - (-3)) = (-20)/(4) = -5`

Substitute the slope (m) and one of the points into the slope-intercept form to find the y-intercept (b). Let's use the point (1, -4):

-4 = (-5)(1) + b

b = -4 + 5

b = 1

Write the equation in slope-intercept form by substituting the values:

y = -5x + 1

Answer 2

I think its y=-5x+73

Explanation: