Finding The Equation Of A Line From A Graph

This lesson covers:

  1. How to find the equation of a line by looking at the line on a graph. 
  2. We do this by finding the gradient (m) and the y-intercept (c).
Graph showing a straight line intersecting the y-axis at 2 and passing through the point (4,6)

What is the equation of the straight line shown in the graph above? 

y = 2x + 1

y = 2x + 3

y = x - 4

y = x + 5

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1

Graph showing a straight line for determining the equation of the line.

What is the equation for the straight line shown in the graph above?

y=6x+2
y=3x+3
y=2x+6

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Graph showing a straight line with a negative slope crossing the y-axis and x-axis.

What is the equation for the straight line shown in the graph above?


y = x - 

-3
5

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2

Graph showing a straight line crossing the origin and extending through the quadrants.

What is the equation for the straight line shown in the graph above?

y=x−1
y=−x+1
y=−x−1

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Graph showing a straight line used to find the equation of the line.

What is the equation for the straight line shown in the graph above?

y=2x−2
y=0.5x−2
y=4x+0.5

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Graph showing a straight line with a negative slope crossing the y-axis and x-axis.

What is the equation for the straight line shown in the graph above?

(If not a whole number, give you answers as decimals)


y = x + 

-0.25
1

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2