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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)=

Full solution

Q. Find an equation for the graph sketched below:\newlinef(x)= f(x)=
  1. Identify yy-intercept and slope: Look at the graph and identify the yy-intercept and slope.
  2. Find y-intercept: The y-intercept is where the graph crosses the y-axis, let's say it's at (0,b)(0, b).
  3. Calculate slope: The slope is the rise over run, let's say it's mm.
  4. Use slope-intercept form: Use the slope-intercept form of a line, which is y=mx+by = mx + b.
  5. Plug in values: Plug in the values of mm and bb into the equation.y=mx+by = mx + b turns into y=m×x+by = m\times x + b.

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