Parallel:
y
=
2
3
x
−
11
3
y=
3
2
x−
3
11
perpendicular:
y
=
−
3
2
x
+
5
y=−
2
3
x+5
Answer:
Step-by-step explanation:
Challenge # 1
Line has a negative slope with positive slope.
Therefore, equation will be,
y = 1.5x - 6
Parallel line to the given line will have same slope = 1.5 but with different y-intercept.
Equation of the parallel line → y = 1.5x + 6
Challenge # 2
Line has a negative y-intercept = -1 (Approx.)
Slope of the line = negative
Therefore, equation of the line will be,
y = -3.7x -1
Line parallel to the given line will have same slope but different y-intercept.
Equation of the parallel line → y = -3.7x + 1
Challenge # 3
Line with negative slope and no y-intercept.
y = -0.8x
Parallel line to the given line will have same slope and different y-intercept.
Equation of the parallel line → y = -0.8x + 1
Challenge # 4
Line in the graph has positive slope and negative y-intercept.
y = -5 + 4.2x
Line parallel to the given line will have same slope but different y-intercept.
Equation of the parallel line → y = - 7 + 4.2x
36 is the answer you are looking for.
Have a good day!
-Kenry
