The angle between the given line and the perpendicular line will be 90°
- The slope of the given line is m = 3
- The slope of the perpendicular line drawn is [tex]\underline{-\dfrac{1}{3}}[/tex]
- The graph combining the two lines attached
Reasons:
The slope of a line perpendicular to another line having slope, m, is [tex]-\dfrac{1}{m}[/tex],
Two points on the line in the diagram are (1, 2), and (-1, -4)
The slope of the line is therefore;
[tex]Slope, \, m =\dfrac{-4- 2}{-1 - 1} = \dfrac{-6}{-2} = 3[/tex]
- The slope of the given line is m = 3
The equation of the line is y - 2 = 3·(x - 1)
y = 3·x - 1 + 2 = 3·x + 1
y = 3·x + 1
The slope of a perpendicular line is therefore;
[tex]-\dfrac{1}{m} = -\dfrac{1}{3}[/tex]
Th equation of the perpendicular line is of the form;
[tex]y = -\dfrac{1}{3} \cdot x + 6[/tex]
- The slope of the perpendicular line drawn is [tex]\underline{-\dfrac{1}{3}}[/tex]
Please find attached the graph of the given line and the perpendicular line created with MS Excel
Learn more here:
https://brainly.com/question/20997999
