Write an equation for the line (0, 5) and (3, -9)

Answer 1

The equation for a line can be written in slope-intercept form as y = mx + b, where m represents the slope and b represents the y-intercept.

To find the slope of the line passing through the points (0, 5) and (3, -9), we can use the formula:
m = (y2 - y1) / (x2 - x1).

Plugging in the coordinates, we have:
m = (-9 - 5) / (3 - 0)
m = -14 / 3.

Now that we have the slope, we can use one of the given points (0, 5) to find the y-intercept (b).

Using the formula y = mx + b, we can substitute the slope (m = -14/3), the x-coordinate (x = 0), and the y-coordinate (y = 5):
5 = (-14/3)(0) + b,
5 = 0 + b,
b = 5.

Therefore, the equation of the line passing through the points (0, 5) and (3, -9) is:
y = (-14/3)x + 5.