Answer:
Step-by-step explanation:
The first step is to find the slope of the graph. The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
where
y1 and y2 are the y coordinates of selected initial and final points on the line.
x1 and x2 are the x coordinates of the selected initial and final points on the line. Selecting points on the graph, we have
when x1 = 0, y1 = - 4
when x2 = 2, y2 = 0
m = (0 - - 4)/(2 - 0) = 4/2 = 2
The equation of a line in the point slope form is
y = mx + c
where
c is the y intercept. It is the value of y when x = 0
Thus, c = - 4
Thus, the equation of the line in the slope intercept form is
y = 2x - 4
We would convert it to standard form which is expressed as
Ax + By = C
By rearranging it, it becomes
2x - y = 4