Question

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

Answer 1

Answer:

y = x - 4

Step-by-step explanation:

Use slope intercept form: $\frac{y2-y1}{x2-x1}$

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

$\frac{-2-(-4)}{2-0}$

$\frac{-2+4}{2}$

$\frac{2}{2}$

$1$

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

Answer:

y = x - 4

Step-by-step explanation: