Question

Write the equation of the line parallel to 2x - 3y = 0 and passes through the point (5, 4).​

Answer 1

• 2x - 3y = 2

Explanation:

Parallel lines have same slope

Given line, in slope intercept form

• 2x - 3y = 0
• 3y = 2x
• y = 2/3x

Parallel line is

• y = 2/3x + b

Using point (5, 4) to find b

• 4 = 2/3*5 + b
• b = 12/3 - 10/3
• b = 2/3

y = 2/3x + 2/3 in slope-intercept form or

2x - 3y = 2 in standard form