Question

Use the table to answer the question. x y −5 0 0 5 2 7 Which linear equation represents this nonproportional linear relationship? (1 point) Responses y=−x+5 y equals negative x plus 5 y=−5x+5 y equals negative 5 x plus 5 y=x+5 y equals x plus 5 y=15x+5

Answer 1

To find the linear equation that represents the nonproportional linear relationship given the points (-5, 0), (0, 5), and (2, 7), we can start by identifying the slope of the line.

First, we can calculate the slope (\(m\)) using the points (0, 5) and (2, 7):

\[
m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 - 5}{2 - 0} = \frac{2}{2} = 1
\]

Now that we have the slope, we can use the point-slope form of a linear equation, which is:

\[
y - y_1 = m(x - x_1)
\]

Using the point (0, 5):

\[
y - 5 = 1(x - 0)
\]

This simplifies to:

\[
y = x + 5
\]

Thus, the linear equation that represents this nonproportional linear relationship is:

**y = x + 5**.

So, the correct response is:
**y = x + 5**.