Question

Which of the following equations represents a line that passes through the points (5,0) and

(0,-5)?
I. 6x6y= 24
II. y + 14 = -(x + 9)
Answer Attempt 1 out of 2
O Neither
O II only
O I only
I and II

Answer 1

The equation II represents a line passing through the points (5,0) and (0,-5).

Step-by-step explanation:

The equation that represents a line passing through the points (5,0) and (0,-5) is the equation II: y + 14 = -(x + 9).

To find this equation, we need to use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the first point (5,0), we have y - 0 = m(x - 5). Plugging in the second point (0,-5), we get -5 - 0 = m(0 - 5).

Cancelling out terms gives -5 = -5m, which simplifies to m = 1.

Substituting m = 1 and the point (0,-5) into the point-slope form, we get y - (-5) = 1(x - 0), which simplifies to y + 5 = x.

Learn more about Linear equations and slopes