Subjects algebra

Graph Linear 6E83A8

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1. The problem asks to draw the graph of the function $$y=3x+2x-7$$ and from that graph find the value of $$y=2x-1$$. 2. First, simplify the function $$y=3x+2x-7$$ by combining like terms: $$y=(3x+2x)-7=5x-7$$ 3. The function to graph is $$y=5x-7$$. 4. The scale given is 2 cm for 1 unit on the x-axis and 2 cm for 5 units on the y-axis. 5. To plot the graph, calculate some points: - For $$x=0$$, $$y=5(0)-7=-7$$ - For $$x=1$$, $$y=5(1)-7=5-7=-2$$ - For $$x=2$$, $$y=5(2)-7=10-7=3$$ 6. Plot these points on the graph using the scale: - $$x=0$$ at 0 cm, $$y=-7$$ corresponds to $$-7/5 imes 2= -2.8$$ cm down - $$x=1$$ at 2 cm, $$y=-2$$ corresponds to $$-2/5 imes 2= -0.8$$ cm down - $$x=2$$ at 4 cm, $$y=3$$ corresponds to $$3/5 imes 2=1.2$$ cm up 7. Draw a straight line through these points to represent $$y=5x-7$$. 8. Now, to find $$y=2x-1$$ from the graph, substitute values of $$x$$ into $$y=2x-1$$: - For $$x=0$$, $$y=2(0)-1=-1$$ - For $$x=1$$, $$y=2(1)-1=1$$ - For $$x=2$$, $$y=2(2)-1=3$$ 9. These points can be compared or plotted similarly if needed. Final answer: The graph of $$y=5x-7$$ is drawn using the given scale, and values of $$y=2x-1$$ can be found by substituting $$x$$ values.