Question

9/29/2020

Answer 1

Answer:  -2x + 5y = 8

Step-by-step explanation:

Since the lines must be parallel, the slopes must be the same, so keep the coefficients of x and y

Substitute the values of x and y from the given coordinate  (6,4) to find the new constant, b, the y-intercept.

-2x + 5y = b

-2(6) + 5(4) = b

-12 + 20 = b

8 = b

Rewrite the original equation substituting the new b for the original -15

-2x + 5y = 8

Answer 2

Answer:

• y = 2/5x + 8/5

Step-by-step explanation:

Slope - intercept form

• y = mx + b

Given line

• -2x + 5y = -15

Converting the equation into slope-intercept form

• -2x + 5y = -15
• 5y = 2x - 15
• y = 2/5x - 3

Parallel lines have same slope of 2/5

• y = 2/5x + b

Using point (6, 4) lets find it's y-intercept (b)

• 4 = 2/5*6 + b
• b = 4 - 12/5 = 8/5

So the line is

• y = 2/5x + 8/5