Help.Write an equation that represents the relationship between the x-value and the y-value.
2 answers:
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<u>Given</u>:
Given that the graph of the linear equation.
We need to determine the equation of the graph.
<u>Slope</u>:
The slope of the equation can be determined using the formula,
Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;
Thus, the slope of the equation is 2.
<u>y - intercept:</u>
The y - intercept of the equation is the value of y when x = 0.
Hence, from the graph, it is obvious that when x = 0, the value of y is -4.
Therefore, the value of the y - intercept is b = -4.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Subtracting both sides by 2x, we have;
Dividing both sides by -1, we get;
Thus, the equation of the line is
Hence, Option B is the correct answer.