What is the general form of the equation of the line shown?

the general form of the equation of the line will be:

Step-by-step explanation:

Finding the slope:

Taking two points from the line as shown in figure

Finding the slope between (-2, 0) and (0, 2)

Finding the y-intercept

We know that the y-intercept can be calculated by setting x=0

From the figure, it is clear that at x=0, y=2

Thus, the y-intercept is (0, 2)

We know that the slope-intercept form of the equation line is:

where m is the slope and b is the y-intercept

As we have already determined the slope = m = 1 and the y-intercept b=2.

Substituting the values in the slope-intercept form of the equation line

Writing the equation in the standard form form

As we know that the equation in the standard form is

where x and y are variables and A, B and C are constants

As we already know the equation in slope-intercept form

so just simplify the equation to write in standard form

Thus, the general form of the equation of the line will be:

step-by-step explanation: