Question

Find an equation of the line that passes through the point (7,0) and is parallel to 7y=6x-14

Answer 1

• y = 6/7 x - 6 Your answer could be
• y = 0.857 x - 6

Explanation:

Remark

• Start by solving for y. Divide both sides by 7
• y = 6/7 x - 14/7
• y = 6/7 x - 2
• Parallel lines all have the same slope. What you know so far is that the slope of the new line must be 6/7
• y = 6/7x + b
• Now you use the given point to solve for b

Givens

• x = 7
• y = 0

Solution

• 0 = 6/7 * 7 + b Reduce the fraction
• 0 = 6 + b Subtract 6 from both sides
• -6 = 6 -6 + b
• b = - 6

Answer

• y = 6/7 x - 6 Your answer could be
• y = 0.857 x - 6