To find the equation of the line passing through the points (2, 1), (1, 5), and (0, 9), we can use the slope-intercept form of the equation: y = mx + b, where m represents the slope, and b represents the y-intercept.
Step 1: Calculate the slope (m):
m = (y₂ - y₁) / (x₂ - x₁).
Using the points (2, 1) and (1, 5):
m = (5 - 1) / (1 - 2)
m = 4 / (-1)
m = -4
Step 2: Substitute a point (x, y) and the calculated slope (m) into the equation y = mx + b and solve for b.
Using the point (2, 1):
1 = -4(2) + b
1 = -8 + b
b = 9
Step 3: Write the equation of the line:
y = -4x + 9
So, the equation of the line passing through the points (2, 1), (1, 5), and (0, 9) is y = -4x + 9.
A line is shown on the coordinate plane.
On coordinate plane, points (2, 1), (1, 5) and (0, 9) are connected through a line.
Drag a number to each box to represent the equation of the line
1 answer
1 answer