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Valentin [98]
2 years ago
8

What is the equation of the graphed line written in

Mathematics
1 answer:
Andrew [12]2 years ago
3 0

<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,

m=\frac{y_2-y_1}{x_2-x_1}

Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;

m=\frac{-4-0}{0-2}

m=\frac{-4}{-2}

m=2

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,

y=mx+b

Substituting the values, we have;

y=2x-4

Subtracting both sides by 2x, we have;

-2x+y=-4

Dividing both sides by -1, we get;

2x-y=4

Thus, the equation of the line is 2x-y=4

Hence, Option B is the correct answer.

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