Answer:
y = 6x - 12
Step-by-step explanation:
In order to find the equation of the line in slope-intercept form, y = mx + b, we need to find the slope and the y-intercept of the given graph.
Given points (2, 0) and (0, -12)
Let (x1,y1) = (2, 0)
(x2, y2) = (0, -12)
We can use the following slope formula to find the slope of the line:
m = (y2 - y1)/(x2 - x1)
m = (-12 - 0)/(0 - 2)
m = -12/ -2
m = 6
Therefore, the slope (m) of the line is 6.
Next, we need to determine the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis, and has the coordinate (0, <em>b</em>). If you look at the graph, the line crosses at point (0, -12), which is also on of the points that we used earlier to solve for the slope. The y-coordinate of (0, -12) is the y-intercept (b). Thus, the y-intecept (<em>b</em>) = -12.
Therefore, the linear equation of the given graph is:
y = 6x - 12
