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Find the equation of the line passing through the given points (-5,6) and (-5,8)​

1 Answer

5 votes

Answer:

x = -5

Explanation:

To find the equation of a line, use the formula y = mx + b, where m is the slope of the line and b is the y intercept.

To find the slope, use your ordered pairs: m = (y2 - y1)/(x2 - x1). Substituting in your values, m = (8-6)/(-5 - -5), or m = 2/0. Since you cannot divide by 0, the slope is undefined; you have a vertical line.

If you plot the points on a graph, (-5, 6) and (-5, 8) both pass through -5 on the x axis. Since this is a vertical line, it will never cross the y axis, so you will not have a y intercept.

Your equation is x = -5.

User Sallar Rabiei
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