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Describe the graph of y=12x−10−3
compared to the graph of y=1x
.
To compare the graphs of y = 12x - 10 - 3 and y = x, we can start by analyzing their slopes and y-intercepts.
For y = 12x - 10 - 3:
1. Slope: The slope of the equation y = 12x - 10 - 3 is 12. This means that for every unit increase in x, y increases by 12 units. This indicates that the graph of y = 12x - 10 - 3 is steeper than the graph of y = x.
2. Y-intercept: The y-intercept is -13, which means that the graph intersects the y-axis at y = -13.
For y = x:
1. Slope: The slope of the equation y = x is 1. For every unit increase in x, y increases by 1 unit. This means that the graph has a steeper slope than y = 12x - 10 - 3.
2. Y-intercept: The y-intercept is 0, which means that the graph intersects the y-axis at y = 0.
In summary, the graph of y = 12x - 10 - 3 has a steeper slope and intersects the y-axis at -13, while the graph of y = x has a slope of 1 and intersects the y-axis at 0. Therefore, the graph of y = 12x - 10 - 3 will be steeper and shifted downwards compared to the graph of y = x.