In this lesson, we will learn how to solve linear equations using function graphs and verify the answer algebraically.
Q1:
The graph in the diagram represents the function 𝑓(𝑥)=2𝑥−7. Without performing any calculation, use the graph to solve 2𝑥−7=0.
Q2:
The graph in the diagram represents the function 𝑓(𝑥)=−5𝑥+32. Without performing any calculation, use the graph to solve −5𝑥+32=0.
Q3:
Consider the equation 𝑦=−2𝑥−4. In the following, find a solution by filling the blank space.
(,4).
(,−8).
(,−6).
These solutions (𝑥,𝑦) can be plotted as seen in the figure. What will be true of any other solution plotted in the plane?
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