Answer:
Gradient of parallel line= 7
Gradient of perpendicular line [tex] = - \frac{1}{7} [/tex]
Step-by-step explanation:
The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.
y= 7x -3
Gradient= 7
Parallel lines have the same gradient.
Thus, the slope of the line parallel to this line is also 7.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of perpendicular line)(7)= -1
Gradient of perpendicular line
= -1 ÷7
[tex] = - \frac{1}{7} [/tex]
Hello! :)
Parallel lines have the same slope.
If one line has a slope of 7, then the line parallel to it has a slope of 7 as well.
Now, perpendicular lines have slopes that are opposite reciprocals. It means we take the slope of one line, make it negative, and flop it over:
[tex]7\\-7\\-\frac{1}{7}[/tex]
Hope it helps. Feel free to ask me if you have any questions.
~A determined teen
[tex]MagicalNature[/tex]
