The equation of the lines shown - 1. y = -2n + 9
2. y = (1/2)x + 1/2 .
1. Y = mx + b is the equation of a line, where m is the slope and b is the y-intercept.
To determine the slope, divide the difference between the two coordinates (y and x) by the difference between the two coordinates.
Where the line crosses the y-axis is known as the y-intercept.
Any two spots (4, 1) and (3, 3) on the line will do. Next:
slope is equal to m times (3-1) / (3-4) = 2 / (-1) = -2.
Additionally, we can see that the line intersects the y-axis at position (0, 9), indicating that b = 9.
Therefore, y = -2n + 9 is the equation.
2.Let's again take any two points to get the slope: (1, 1) and (3, 2). Next:
m = (2 - 1) / (3 - 1) = 1/2 is the slope.
Since the line appears to intersect the y-axis at (0, 1/2), we can conclude that b = 1/2.
Consequently, y = (1/2)x + 1/2 is the equation.
Therefore, y = -2n + 9 is the equation.