Answer: y = -2x + 8.
Explanation:
To find the equation of the line that passes through the points (0, 8) and (4, 0), we can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope and b represents the y-intercept.
First, we need to find the slope of the line. The slope (m) can be calculated using the formula:
m = (y₂ - y₁) / (x₂ - x₁),
where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Using the points (0, 8) and (4, 0), we can substitute the values into the formula:
m = (0 - 8) / (4 - 0)
m = -8 / 4
m = -2
Now that we have the slope, we can substitute it into the slope-intercept form and solve for the y-intercept (b). Using the equation y = mx + b, and substituting the slope (-2) and the coordinates (0, 8) of one of the points:
8 = -2(0) + b
8 = b
Therefore, the equation of the line that passes through the points (0, 8) and (4, 0) is y = -2x + 8.