Which graph is given by the equation y = 4x -4?
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Answer:
Graph C is the only one that has a positive slope; the slope of y = 4x - 4 is +4.
Step-by-step explanation:
Graph C is the only one that has a positive slope. Looking carefully, we see that the slope of the line in C is +4.
Option (C) is the graph that is given by the equation y = 4x-4.
A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The equation is y = 4x - 4
Plot this equation on the graph as shown below.
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
From the graph, the function crosses the x-axis at (1,0) and crosses the y-axis at (0,-4)
Now the function has x intercept at 1 and y intercept at -4.
From the options, the graph C is similar to the given function.
Hence we can conclude that option (C) is the graph that is given by the equation y = 4x-4.
Learn more about graph of a function here
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