Write an equation for the line (0, 4) and (5, -8)

Answer 1

The equation of a line can be determined using the slope-intercept form, which is given by:

y = mx + b

where:
m = slope of the line
b = y-intercept

To find the slope (m) of the line passing through the points (0, 4) and (5, -8), we employ the slope formula:

m = (y2 - y1) / (x2 - x1)

Using the coordinates, we have:

m = (-8 - 4) / (5 - 0)
m = -12 / 5

Now, the equation of the line becomes:

y = (-12/5)x + b

To determine the y-intercept (b), we can substitute the coordinates of one of the points into the equation. Let's use (0, 4):

4 = (-12/5)(0) + b
4 = 0 + b
b = 4

Hence, the equation of the line passing through the points (0, 4) and (5, -8) is:

y = (-12/5)x + 4