The graph of the line contains the points (6, 0) and (0, 4).

Name: The graph of the line contains the points (6, 0) and (0, 4).
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Question

The graph of the line  contains the points (6, 0) and (0, 4).

Quizplus · Accepted Answer

The equation of the line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by:

$$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$$

Applying this formula with $(x_1,y_1) = (6,0)$ and $(x_2,y_2) = (0,4)$, we get:

$$\frac{y-0}{x-6} = \frac{4-0}{0-6} \implies y = -\frac{2}{3} x + 4$$

Therefore, the statement is false.

The Graph of the Line Contains the Points (6