Math  /  Geometry

QuestionGraph the line through (1,2)(-1,-2) and (1,3)(-1,3), find its equation in standard form, and calculate the slope.

Studdy Solution
The slope of a vertical line is undefined because the denominator of the slope formula, which is the difference in the x-coordinates, is zero. The slope formula is y2y1x2x1\frac{y2 - y1}{x2 - x1}, and for a vertical line, x2x1=0x2 - x1 =0.
So, the slope of the line is undefined.
The solution to the problem is(a) The line passing through the points (1,2)(-1,-2) and (1,3)(-1,3) is a vertical line. (b) The equation of the line in standard form is x+1=0x +1 =0. (c) The slope of the line is undefined.

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