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

Find equation of this line from the given graph

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

Write equation of a line using the graph?

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.