Respuesta :

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