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Linear function gis shown in the graph. Write the slope-Intercept form of the equation representing this function.

Linear function gis shown in the graph. Write the slope-Intercept form of the equation-example-1
User Chris Biscardi
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1 Answer

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26 votes

To find the equation of the line in slope intercept form the first step is to find the slope of the given line:


m=(y2-y1)/(x2-x1)

In this formula, m is the slope of the function, y2 and y1 are the y coordinates of 2 points on the line, and x2 and x1 are the x coordinates of the same 2 points, for example, they can be (-1,3) and (0,1):


m=(1-3)/(0-(-1))=-(2)/(1)=-2

The slope of the line is -2.

Now, we can use the y intercept of the graph of g, which is 1.

The slope intercept form of the equation follows the following general structure:


y=mx+b

Where m is the slope of the line and b is the y intercept. Use the known values to replace them on the equation. The intercept form of the equation is:


y=-2x+1

User Kevin Craft
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