Gr 11 Math Ch 4: Parallel Lines

What is the necessary condition for two lines to be parallel?

They have the same gradient.

What form of the equation of a line should be used to easily identify the gradient?

Standard form.

What is the primary purpose of using the point-slope form when finding the equation of a parallel line?

To use the given point and gradient to find the equation of the line.

What should be done to the equation of a parallel line after using the point-slope form?

Simplify the equation to the standard form. Signup and view all the answers

What is a key difference between parallel lines and identical lines?

Their y-intercepts. Signup and view all the answers

Why is it necessary to ensure the given line's equation is in the gradient-intercept form?

To directly read off the gradient of the line. Signup and view all the answers

If two lines are parallel, what can be said about their gradients?

They are equal. Signup and view all the answers

What is the first step in finding the equation of a parallel line?

Identify the gradient of the given line. Signup and view all the answers

What is the primary purpose of using the gradient-intercept form of the equation of a line?

To easily identify the gradient of the line. Signup and view all the answers

If a line has a gradient of 2, what is the gradient of a line parallel to it?

2 Signup and view all the answers

What is true about the y-intercepts of parallel lines?

They can be the same or different. Signup and view all the answers

What is the equation of a line parallel to the line y = 2x + 3, passing through the point (1, 5)?

y = 2x + 4 Signup and view all the answers

What is the relationship between the gradients of two parallel lines and their respective y-intercepts?

The gradients are equal, but the y-intercepts can be different. Signup and view all the answers

A line passes through the point (2, 3) and is parallel to the line y = 3x - 2. What is the equation of the line in slope-intercept form?

y = 3x - 1 Signup and view all the answers

What is the primary reason for ensuring the given line's equation is in the standard form y = mx + c?

To easily identify the gradient. Signup and view all the answers

If two lines are parallel, which of the following statements is TRUE?

They have the same gradient and different y-intercepts. Signup and view all the answers

What is the purpose of using the point-slope form when finding the equation of a parallel line?

To find the equation of the parallel line in slope-intercept form. Signup and view all the answers

If a line has a gradient of -2, what is the gradient of a line parallel to it?

-2 Signup and view all the answers