Question

Which of the following equations represents the graph shown?

Answer 1

Answer: yes

Explanation:

Answer 2

An equation that represents the graph shown include the following: A. f(x) = -x + 2.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

`y - y_1 = m(x - x_1)`

Where:

• x and y represent the data points.
• m represent the slope.

First of all, we would determine the slope of the line by using these points (1, 1) and (0, 2);

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Slope (m) = (2 - 1)/(0 - 1)

Slope (m) = 1/-1

Slope (m) = -1

At data point (0, 2) and a slope of -1, a function for this line can be calculated by using the point-slope form as follows:

`y - y_1 = m(x - x_1)`

y - 2 = -1(x - 0)

y - 2 = -x

y = -x + 2

f(x) = -x + 2