Graph the function y + 4 = -\frac{5}{2}( x -2)

STEP 1: Recall the point-slope form of a line
https://www.sparknotes.com/math/algebra1/writingequations/section2/
The point slope form of a line is given by
y-y_{1} = m(x - x_{1})
Comparing this with the given equation
y+ 4 = -\frac{5}{2}(x-2)
We get one set of points (2,-4) and the slope as \frac{-5}{2}
STEP 2: Graph the function
Recall how to plot the slope of a line when one point is given
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Mark these points on the coordinate axis
Now plot the slope of the line
Since the slope is given as \frac{-5}{2}, we move 5 spaces down and 2 spaces to the right and plot the second point
Join these points to get a straight line.
This is how you graph the given function
Further skills you may want to recall:
How to plot a point on the coordinate plane
https://www.ixl.com/math/grade-6/graph-points-on-a-coordinate-plane
What is the slope of a line
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