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Find an equation for the graph sketched below f(x)=

Find an equation for the graph sketched below\newlinef(x)= f(x)=

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Full solution

Q. Find an equation for the graph sketched below\newlinef(x)= f(x)=
  1. Identify Graph Type: Identify the type of graph; it looks like a straight line, so we're dealing with a linear function.
  2. Determine Slope: Determine the slope mm of the line by finding the rise over run between two points on the graph.
  3. Find Y-Intercept: Find the y-intercept bb where the line crosses the y-axis.
  4. Use Slope-Intercept Form: Use the slope-intercept form of a linear equation, which is y=mx+by = mx + b, to write the equation.
  5. Plug in Values: Plug in the slope and yy-intercept values into the equation.
  6. Write Final Equation: Write the final equation for f(x)f(x).

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