Question

Whta slope line goes through (4,5) &(-1,-5)

Answer 1

Answer: 2x - 3.

Step-by-step explanation: I took the test.

Answer 2

y = 2x - 3

Explanation:

1) Find the slope

The slope of any function, if given the coordinates of at least two of the points it crosses, is given by the formula
`m = (y_2 - y_1)/(x_2 - x_1)`.

We are given the points (4, 5) and (-1, -5), therefore, we can substitute their values:

`m = (y_2 - y_1)/(x_2 - x_1) = (5 - (-5))/(4 - (-1)) = \frac{10}5 = 2`

2) Find the line's equation
We can find the line's equation by substituting one of the given points and the slope we just found into the formula
`y - y_1 = m(x - x_1)`:

`y - 5 = 2(x - 4) \\ \to y - 5 = 2x - 8 \\ \to y = 2x - 3`