Question

Write an equation for the line that passes through the points (0, -6) and (-3,0).

Option 1: Oy=-2X-3
Option 2: Oy=- Ex-3
Option 3: Oy=- 1 X - 6
Option 4: Oy=-2X-6

Answer 1

The equation of the line passing through the points (0, -6) and (-3, 0) is y = -2x - 6, which corresponds to Option 4.

Step-by-step explanation:

To write an equation for the line that passes through the points (0, -6) and (-3, 0), first determine the slope of the line. The slope (m) is the change in y divided by the change in x, so m = (0 - (-6)) / (-3 - 0) = 6 / -3 = -2.

Now, using the point-slope form of the line equation, y - y1 = m(x - x1), substituting one of the points and the slope, we get y - (-6) = -2(x - 0).

Simplifying this equation gives y = -2x - 6, which is the equation of the line in slope-intercept form. Therefore, the correct option is Option 4: Oy=-2X-6.