Aisha and Carolina each sketch a graph of the linear equation y= - 3/4x +2.
+ 2. Aisha uses the equation y= 3/-4x+2
a. Explain how this leads them to use different steps to construct their graphs.
b. Will the two graphs look the same? Explain.
-x + 2 to sketch the graph, and Carolina uses the equation Y==4×+2
a. Choose the correct answer below.
А.
When they use the slope to plot the second point, Aisha moves left 3 units and up 4 units while Carolina goes right 3 units and down 4 units.
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Aisha identifies the y-intercept as 4, and Carolina identifies the y-intercept as - 4.
• C. When they use the slope to plot the second point, Aisha moves down 3 units and right 4 units while Carolina goes up 3 units and left 4 units.
• D. Aisha identifies the y-intercept as - 3, and Carolina identifies the y-intercept as 3.
a. Aisha and Carolina use different steps to construct their graphs because they have written the equation in different forms. Aisha has written it as y = -(3/4)x + 2, while Carolina has written it as y = 4x + 2. Since the signs and coefficients are different, their slopes and y-intercepts will also be different.
b. No, the two graphs will not look the same because they have different slopes and y-intercepts. The slope affects the steepness of the line, and the y-intercept determines where the line crosses the y-axis. Since Aisha and Carolina have different slopes and y-intercepts, their graphs will appear different.