1 answer
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First, let's find the slope (m) using the two points (1, 2) and (5, 4):
m = (4 - 2) / (5 - 1)
m = 2 / 4
m = 0.5
Now, let's pick one of the points (let's use (1, 2)) and plug it into the equation y = mx + b to solve for b:
2 = 0.5(1) + b
2 = 0.5 + b
b = 2 - 0.5
b = 1.5
Therefore, the linear equation for the line in the picture is:
y = 0.5x + 1.5