Answer:
The equation is 6x + 5y - 9 = 0
Step-by-step explanation:
∵ The line parallel to the line 6x + 5y = 29
∴ their slopes are equal
∵ The slope of the first line is -coefficient x / coefficient y
∴ the slope = -6/5
∴ The slope of the second line is -6/5
∵ the form of the equation is y - y1 = m (x - x1) and point (x1 , y1) is (9 , -9)
∴ y - (-9) = -6/5 (x - 9)
∴ y + 9 = -6/5 x + 54/5
∴ y + 6/5 x = 54/5 - 9⇒Multiply the equation by 5
∴ 5y + 6x = 54 - 45
∴ 5y + 6x = 9
∴ 6x + 5y = 9
∴ The equation is 6x + 5y - 9 = 0
