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Write the standard form of the equation of the line through the pair of points (2,3) and (2,-1)

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The standard form equation for a line is give by:

y = mx + b

Where:

m is the slope of the line

b is the y-intercept (the point where the line crosses the y-axis, this is when x is equal to 0).

Let's find m from the point-slope equation:

m = y2 - y1

x2 - x1

x1 = 2

x2 = 2

y1 = 3

y2 = -1

m = -1 - 3

2 - 2

m = -4/0

m = 0

So let's pick either points and plug it and the slope (m) into the standard form equation.

y = mx + b

3 = 0 * 3 + b

3 = 0 + b

3 = b

b = 3

y = x + 3

User Nebi
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