find the slope of each line.\n17) ( y = - 5 x - 1 )\n19) ( y = - \frac { 1 } { 5 } x - 4 )\n21) ( y = \frac…

find the slope of each line.\n17) ( y = - 5 x - 1 )\n19) ( y = - \frac { 1 } { 5 } x - 4 )\n21) ( y = \frac { 1 } { 4 } x + 1 )\n23) ( y = - x + 2 )

find the slope of each line.\n17) ( y = - 5 x - 1 )\n19) ( y = - \frac { 1 } { 5 } x - 4 )\n21) ( y = \frac { 1 } { 4 } x + 1 )\n23) ( y = - x + 2 )

Answer

Explanation:

Step1: Recall the slope - intercept form

The slope - intercept form of a line is (y = mx + b), where (m) is the slope and (b) is the y - intercept.

Step2: Identify the slope for each equation

  • For (y=-5x - 1), comparing with (y = mx + b), we have (m=-5).
  • For (y =-\frac{1}{5}x-4), comparing with (y = mx + b), we have (m =-\frac{1}{5}).
  • For (y=\frac{1}{4}x + 1), comparing with (y = mx + b), we have (m=\frac{1}{4}).
  • For (y=-x + 2), which can be written as (y=-1x + 2), comparing with (y = mx + b), we have (m=-1).

Answer:

  1. The slope is (-5).
  2. The slope is (-\frac{1}{5}).
  3. The slope is (\frac{1}{4}).
  4. The slope is (-1).