Question

Find the slopes of the linear functions.

Answer 1

Answer:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1

Step-by-step explanation:

The line equation, y = -2x + 7 is written in the slope-intercept form, which is represented by the formula, y = mx + b.

m is the slope, while b is the y-intercept.

Therefore, the slope of the line of the linear equation, y = -2x + 7 is -2.

Find the slope of the line shown in the graph using the formula, $m = \frac{y_2 - y_1}{x_2 - x_1}$.

Use the coordinates of any two points on the line. Let's use (0, 5) and (5, 0)

Let,

$(0, 5) = (x_1, y_1)$

$(5, 0) = (x_2, y_2)$

$m = \frac{0 - 5}{5 - 0} = \frac{-5}{5} = -1$

Therefore:

The slope of the line given by the linear equation is -2

The slope of the line shown in the graph is -1