Question

Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the point (9, -5).

Answer 1

• 8x + 3y = 57
• y = -8/3x + 19
• y + 5 = -8/3(x - 9)

Explanation:

Given function

• 8x+3y=11

Line parallel to the given has the same slope and passes through the point

• (9, -5)

Determining the equation

• 8x + 3y = c
• 8*9 + 3*(-5) = c
• c=72 - 15
• c = 57

So the function is in standard form

• 8x + 3y = 57

Converting to slope-intercept form

• y = mx + b
• 3y = -8x + 57
• y = -8/3x + 573
• y = -8/3x + 19

Point-slope form, using the given point

• y - y1 = m(x - x1)
• y - (-5) = -8/3(x - 9)
• y + 5 = -8/3(x - 9)