The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?
1 answer:
Find the slope of the line passing throught the points (2, 2) and (4, 3).
The formula of a slope:

Substitute:

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:
Substitute:

We have the equation:
<em>cross multiply</em>

<em>add 2 to both sides</em>

<h3>Answer: x = -4.</h3>
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False — if it doesn’t cross, it has no real roots.