Question

Slope:
Y-intercept=
Equation Y=

Answer 1

Slope = -3

Y-intercept = (0,-4)

Equation = -3x-4

Explanation:

Slope is
`(rise)/(run)` or
`(Y2-Y1)/(X2-X1)`. Apply this from the data in the table, for example:

`(5-8)/(-3-(-4)) = (rise)/(run)\\ (-3)/(1) = (rise)/(run)\\\\-3= (rise)/(run)`

Y-intercept is located where x=0. If we look at the table, we will find that when x=0, y=-4. If we turn it into a (x,y) point format, we will get (0,4).

The function can be found using the Y-intercept and the slope. Since at x=0, y=-4, we know that the function must have a -4 in it, therefore:
`y = x-4`. Our function decreases by 3 for every positive x and increases by 3 for every negative x, therefore
`y = -3x-4`.