Question

What is the equation of the graphed line written in

Answer 1

Given:

Given that the graph of the linear equation.

We need to determine the equation of the graph.

Slope:

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.

y - intercept:

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.

Equation of the line:

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.