Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The first step is to determine the slope of both lines. The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents the slope
c represents y intercept
The given equations are
4x - y = 16
3y - 12x = - 3
We would rewrite each equation so that it would take the form of the slope intercept equation.
For 4x - y = 16,
Adding y to both sides of the equation, we have
4x - y + y = 16 + y
4x = 16 + y
subtracting 16 from both sides of the equation, we have
4x - 16 = 16 - 16 + y
4x - 16 = y
y = 4x - 16
Thus, slope = 4
For 3y - 12x = - 3,
We would add 12x to both sides of the equation. It becomes
3y - 12x + 12x = 12x - 3
3y = 12x - 3
Dividing both sides of the equation by 3, we have
3y/3 = 12x/3 - 3/3
y = 4x - 1
Thus, slope = 4
Recall, if two lines are parallel, it means that they have the same slope. Since the slopes of the given lines are equal, then
They are parallel
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
