Question

8. PLS ANSWER!!!! and show work

Answer 1

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

• m is the slope

• b is the y-intercept

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

∴ m = 5

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line is 5

→ Substitute it in the form of the equation above

∴ y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

∴ x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

∴ 11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

∴ The equation of the parallel line is y = 5x + 11