Equation of a line Flashcards

1
Q

What is the gradient?

A

The steepness of a line

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2
Q

How do you work out the gradient?

A
Vertical distance (length)
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Horizontal distance (width)
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3
Q

What is the equation for a straight line?

A

y = mx + c

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4
Q

What does y = mx + c represent?

A
m = gradient 
c = y - intercept
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5
Q

What is the intercept?

A

Where the line crosses the y-axis

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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
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