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Can you help me find the answer of the image please

Can you help me find the answer of the image please-example-1
User Ootinii
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1 Answer

5 votes

To write the equation that represents the line you have to identify two values:

1) The y-intercept: this is the value of y when x=0

If you watch the graph, the line cuts the y-axis on y=3, this value is the y-intercept of the function.

2) The slope of the function.

Unlike the y-intercept, you cannot determine the slope just by looking at the graphic, you need to do a simple calculation.

Using two points over the line you can apply the following formula to calculate the slope:


m=(Y_1-Y_2)/(X_1-X_2)

For the first set of coordinates I'll use the vlaues (2,6) and for the second set I'll use the y-intercept (0,3), then the slope is


m=(6-3)/(2-0)=(3)/(2)=1.5

The slope of this line is m=2/3 or if you prefer to write it as a decimal value m=1.5

Now that the slope and the y-intercept are determined you can write the equation folowing the model: y= b+mx


y=3+(3)/(2)x

User Moody
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