Question

The equation of the line that passes through the points (0,−4) and (2,−2)

Answer 1

y = x - 4

Explanation:

Use slope intercept form:
`(y2-y1)/(x2-x1)`

-2 is y2, -4 is y1, 2 is x2, and 0 is x1. Plug in these values

`(-2-(-4))/(2-0)`

`(-2+4)/(2)`

`(2)/(2)`

`1`

1 is the slope. Grab a y coordinate in one of the coordinate pairs. I will choose -2. Choose a x value too. I will choose 2. Plug in the values in the equation y = mx + b.

-2 = 2 + b

Figure out b.

b = -4

Since we know the value of b and the slope, plug in the values to y = mx + b.

y = 1x - 4 or y = x - 4

y = x - 4 is the equation. Let me know if I got anything wrong. I hope this helps!

Answer 2

y = x - 4

Explanation: