Question

Slope intercept form of points 0, -4 and -1, 4

Answer 1

y = - 8x - 4

Explanation:

y = mx + b

"m" is slope, "b" is y-intercept.

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

~~~~~~~~~~~~~~~

(0, - 4) are coordinates of y-intercept.

( - 1, 4)

m =
`(4 + 4)/(-1-0)` = - 8

y = - 8x - 4

Answer 2

`y=(0)/(-1) -4`

Explanation:

first, you have to find the slope, and to do that you use this equation
`(y2-y1)/(x2-x1)`

so, now to insert your points (0,-4), (-1,4)

(x1,y1) (x2,y2)

`(4-4)/(-1-0) = (0)/(-1)`

now that you have the slope you can find the y-intercept of the slope-intercept form by looking at your first point (0,-4) and get -4

- if you were to look at this point on a graph it would be on the y-axis therefore, -4 is the y-intercept [if you don't have a point like this one then you can look at a graph with one of your points and make a slope until you are on the y-axis :)]

therefore, the slope-intercept form is y=
`(0)/(-1)` -4

[ps, your slope is a zero slope :)]