A graph of this equation y - 2 = -3/4(x - 6) is shown in the image attached below.
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that is typically used for the graphical representation of data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate.
Next, we would rearrange and simplify the given given equation in slope-intercept form in order to enable us plot it on a graph:
y - 2 = -3/4(x - 6)
Opening the bracket, we have:
y - 2 = -3x/4 + 18/4
y = -3x/4 + 18/4 + 2
y = -3x/4 - 26/4
y = -3x/4 - 13/2
Therefore, the slope is equal to -3/4 and the y-intercept is equal to -13/2.
In conclusion, we can logically deduce that the graph representing the given linear equation does not show a proportional relationship between the value of x and y.
Read more on graphs here: brainly.com/question/4546414
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Option B:
sin x = 1 is the equation represented by the intersection of the graph.
Solution:
The graph lies between -1 and 1 in y-axis.
x-axis of the graph is all real numbers.
The graph oscillates between -1 and 1 and a shape that repeats itself every 2π units.
That is the domain of the graph is all real numbers.
The range of the graph is [-1, 1].
It clearly shows that, it is the graph of sinx = 1.
Hence sin x = 1 is the equation represented by the intersection of the graph.
Option B is the correct answer.
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