Equation of the line in standard form with points A(1, 3) and B(0, 2).
Standard form is the following
y = mx + b; m is the slope of the line and b is the y offset
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Step 1:
Determine the slope of the line at points: A(1, 3) and B(0, 2)
The formula to find the slope of a line is the following
m = (y1-y2)/(x1-x2) where m is the slope from points A(x1,y1) and B(x2,y2)
A(1, 3) and B(0, 2)
y = mx + b
m = (3 - 2)/(1-0) = (3-2)/(1) =(1)/(1)
m = 1;
The standard equation is as follows now:
y = mx + b; m = 1
y = x + b
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Step 2:
Determine the value of b from the points A(1, 3) or B(0, 2)
y = x + b;
B(0,2); x = 0 and y = 2
y = x + b
2 = (0) + b
2 = b
Thus;
y = x + b;
y = x + 2
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Step 3:
Validate that y = x + 2 is valid by using point A(1,3) and B(0,2)
y = x + 2;
A(1,3) x=1 and y = 3
y = x + 2 -> 3 = 1 + 2 = 3
True for A(1,3)
B(0,2) x=0 and y=2
y = x + 2 -> 2 = 0 + 2
True for B(0,2)
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Our Line in Standard Form is
y = x + 2