Question

Find the slopes of the liner functions

Y= -2x +7
The slope of line given by the linear equation?
The slope of the line shown ?

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 form of the linear equation is y = m x + b, where

• m is the slope

• b is the y-intercept

The rule of the slope of a line is m =
`(y2-y1)/(x2-x1)` , where

• (x1, y1) and (x2, y2) are two points lie on the line

Let us use these rules to answer the question

∵ The linear equation is y = -2x + 7

→ By comparing it with the form of the linear equation above

∴ m = -2

∵ m is the slope of the line represented by the given equation

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

From the given figure

∵ The line passes through points (6, 0) and (0, 6)

∴ x1 = 6 and y1 = 0

∴ x2 = 0 and y2 = 6

→ Substitute them in the rule of the slope above to find it

∵ m =
`(6-0)/(0-6)=(6)/(-6)`

∴ m = -1

∵ m is the slope of the line shown in the graph

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