Line Equations

Question 1

The general equation of a line is y = mx + c

Answer 1

Where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. Key Point. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

Question 2

What is the gradient of a line?

Answer 2

The gradient of a line is the measure of the steepness of a straight line.

The gradient of a line can be either positive or negative and does not need to be a whole number.

The gradient of a line can either be positive in an uphill (from left to right) or negative I a downhill direction (negative value)

Question 3

How do you find the gradient of a line?

Answer 3

To calculate the gradient of a straight line we choose two points on the line itself. The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction. If the answer is a negative value then the line is downhill in direction.

https://docs.google.com/document/d/1invTHR9S_6rU5DNfDyzxpkITG5bQ_-kUZ_lKgujAt7E/edit

y=4x + 3
4=gradient
3=y intercept

Question 4

What is the gradient of a straight line?

Answer 4

The gradient formula of a straight line shows us how steep the line is. In the general equation of a straight line, y = mx + c, the gradient is denoted by the letter m.

To calculate the gradient of a straight line through two coordinates (x₁ y₁) and (x₂.y₂ ) use this gradient formula

          y₂ - y₁ m =    ---------------
          x₂ - x₁

Question 5

More Line Gradient Information:

Answer 5

https://thirdspacelearning.com/gcse-maths/algebra/gradient-of-a-line/