i really need help with this question please

Question

Find the slope and y-intercept of the line

represented by each of the following.

 

x	y
-3	10
0	4
4	-4

Answer 1

The y-intercept occurs when we cross the y-axis (at the point that x is 0)

Looking at our table, when x = 0, y = 4.

So, our y-intercept is 4.

Slope is (the change in y)/(the change in x)

Let's use the first two points in our table. (-3, 10) and (0,4)

1. m = (y₂ - y₁) / (x₂ - x₁)
2. m = (4 - 10) / (0 - (-3))
3. m = (-6) / (3)
4. m = -2

So, our slope is -2. Assuming the data in your table is linear, the slope should be the same regardless of which two points you pick.