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What is the linear function equation represented by the graph?

What is the linear function equation represented by the graph?-example-1
User Drake Wu
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1 Answer

2 votes

Answer:

The equation of the line (in slope-intercept form) is
y=(1)/(3)x-4


Explanation:

We need two points to figure out the equation of the line given in the graph.

The two points we choose are (0,-4) and (3,-3) (we can choose any 2 points on the line)

The formula we are going to use to find the equation of this line is shown below:


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

Where


  • (x_1,y_1) is the first point, and

  • (x_2,y_2) is the second point

Plugging in the points noted above into the formula gives us:


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)\\y-(-4)=(-3-(-4))/(3-0)(x-0)\\y+4=(-3+4)/(3)(x)\\y+4=(1)/(3)x\\y=(1)/(3)x-4

User Guillaume Vincent
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