Respuesta :
Answer:
The parallel line has slope [tex]\frac{20}{7}[/tex]
The perpendicular line has slope [tex]-\frac{7}{20}[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope.
Parallel lines:
Parallel lines have the same slope.
Perpendicular lines:
If two lines are perpendicular, the multiplication of their slopes is -1.
In this question:
We have the following line:
[tex]7y = 20(x-3)[/tex]
Placing it in the general format
[tex]7y = 20x - 60[/tex]
[tex]y = \frac{20x}{7} - \frac{60}{7}[/tex]
So this line has slope [tex]\frac{20}{7}[/tex]
Parallel line:
Same slope, so the parallel line has slope [tex]\frac{20}{7}[/tex]
Perpendicular line:
Multiplication of the slopes is -1. So
[tex]\frac{20m}{7} = -1[/tex]
[tex]20m = -7[/tex]
[tex]m = -\frac{7}{20}[/tex]
The perpendicular line has slope [tex]-\frac{7}{20}[/tex]
