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Answer:
7x +18y = -5
Step-by-step explanation:
The slope is ...
m = (y2 -y1)/(x2 -x1)
m = (-2/3 -1/2)/(1 -(-2)) = (-7/6)/(3) = -7/18
The y-intercept is ...
b = y -mx
b = 1/2 -(-7/18)(-2) = 1/2 -7/9 = -5/18
Then the slope-intercept form of the equation is ...
y = -7/18x -5/18
Multiplying by 18 and adding the opposite of the x-term gives the equation in standard form. The standard form equation is ...
7x +18y = -5
