Find the slope of the linear function.

Question

y = -x + 2

Answer 1

In the linear function given by the equation \( y = -x + 2 \), the slope is represented by the coefficient of \( x \).

Here, the equation can be rewritten in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

From the equation \( y = -x + 2 \), we can identify:

• The slope \( m = -1 \)
• The y-intercept \( b = 2 \)

Thus, the slope of the linear function \( y = -x + 2 \) is \(-1\).

Answer 2

Now, find the y-intercept

Answer 3

In the linear function given by the equation \( y = -x + 2 \), the y-intercept is represented by the constant term, which corresponds to the value of \( y \) when \( x = 0 \).

From the equation:

\[ y = -x + 2 \]

If we set \( x = 0 \):

\[ y = -0 + 2 = 2 \]

Therefore, the y-intercept is \( 2 \). In coordinate form, the y-intercept can be represented as the point \( (0, 2) \).