Equation of a line Flashcards
1
Q
What is the gradient?
A
The steepness of a line
2
Q
How do you work out the gradient?
A
Vertical distance (length) --------------------------------------- Horizontal distance (width)
3
Q
What is the equation for a straight line?
A
y = mx + c
4
Q
What does y = mx + c represent?
A
m = gradient c = y - intercept
5
Q
What is the intercept?
A
Where the line crosses the y-axis
6
Q
Example question of finding the equation fo the line:
Find the equation of a line that has a gradient of 3 and passes through (2,8).
A
m = 3 x = 2 y = 8
X & Y are the coordinations in the question
Then but it into the t = mx + c formula to find out c
8 = (3x2) + c mx = 6 c must be 2 to add up to 8 Then rewrite in y = mx+c formula y = 3x + 2