Question

Find the slopes of the linear functions.

y = -2x + 7
The slope of the line given by the linear equation is
ty
The slope of the line shown in the graph is
4
-8
4

Answer 1

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

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

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 = (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 = (0 - 5)/(5 - 0) = (-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