Question

(Due in 30 minutes!)

Answer 1

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, b). 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 (b) = -12.  

Therefore, the linear equation of the given graph is:

y = 6x - 12