The equation of the line is y = 2/3x + 4
The points on the line are given as:
(zero, four) and (negative six, zero).
Rewrite the points properly as
(0, 4) and (-6, 0)
The slope of the line is calculated using:
m =(y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (0 - 4)/(-6 - 0)
Evaluate
m = 2/3
The equation of the line is then calculated as:
y = mx + b
This gives
y = 2/3x + b
So, we have:
4 = 2/3 * 0 + b
Evaluate
b = 4
Substitute b = 4 in y = 2/3x + b
y = 2/3x + 4
Hence, the equation of the line is y = 2/3x + 4
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