The equation of the blue line is y = 7x - 8 and the equation of the red line is y = -2x + 2
How to write a linear equation
Equations are written as a function of two or more variables with input and output.
The standard linear equation is given in the form y = mx + b
m is the slope
b is the y-intercept
For the red line, the y-intecept is 2
Using the coordinate point on the red line (0,2) and (1, 0)
Slope = -2/1
Slope = -2
Equation of the red line is y = -2x + 2
For the blue line, we will use the coordinate points (2, 6) and (1, -1)
m = -7/-1
m = 7
-1 = 7(1) + b
-1 - 7 = b
b = -8
Hence the equation of the blue line is y = 7x - 8
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