# Graphing Linear Equation Worksheet

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Graphing Linear equations worksheet shows the method of graphing given equation.  Graphing equations leads to get solution in easiest way. There are various methods of graphing linear equations. The equation can be framed using graph of a line. Graphing method helps in solving many real world problems.

Now let us take problems of framing equation from given graph. the equation we are framing is in slope intercept form

Example 1:-

Find equation of this line from the given graph Solution 1:-

From the graph take any 2 points on the line and find out slope
Let us take points (-4, -1) and (0, -2)
Take these points as (x1, y1) and (x2, y2)
We know slope = y2 – y1 / x2 – x1
So slope = -2 – (-1) / 0 – (-4) = -1 / 4
Y – Intercept is the point where the line insects y axis.
So y- intercept = -2
Therefore the equation of line is y = -(1/4)x - 2

Example 2:- Write equation of a line using the graph?

Solution2:-
Take any 2 points from the graph on the line and find  slope using the points
Let us take points (0, -4) and (2, 0)
Take these points as (x1, y1) and (x2, y2)
We know slope = y2 – y1 / x2 – x1
So slope = 0 – (-4) / 2 – 0 = 2
Y – Intercept is the point where the line insects y axis.
So y- intercept = -4
Therefore the equation of line is y = 2x – 4
These examples clearly illustrate the method of framing equation from the given graph.