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40 votes
40 votes
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, two and one, zero.

A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, two and one, zero.
What is the slope of the line?

User Alexandru Puiu
by
2.4k points

2 Answers

25 votes
25 votes

Answer:

-1

Explanation:

I'm just good like that

User Aseem
by
3.4k points
10 votes
10 votes

The slope of the line is
\(-2\).

The slope of a line in a coordinate plane can be calculated using the formula:


\[ \text{Slope} (m) = \frac{\text{change in } y}{\text{change in } x} \]

Given that the line intersects the points (0, 2) and (1, 0), we can use these coordinates to calculate the slope.

Let's denote the coordinates as (x₁, y₁) = (0, 2) and (x₂, y₂) = (1, 0).


\[ \text{Slope} (m) = (y_2 - y_1)/(x_2 - x_1) \]


\[ \text{Slope} (m) = (0 - 2)/(1 - 0) \]


\[ \text{Slope} (m) = (-2)/(1) \]

Therefore, the slope of the line is
\(-2\)

User Adam Gardner
by
3.1k points