I'm so lost I have no idea. Please help
Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
graph of line going through ordered pairs (0, 300) and (450, 0)
slope of line = (0-300)/(450-0) = -2/3
so the equation is y = (-2/3)x + b
but b is the y-intercept and it is given as 300, so
y = (-2/3)x + 300
I don't understand why you say you are lost.
This type of question is as basic as they come in this topic.
thank you
I understand now
To determine the equation of the line that represents the given graph, you can use the slope-intercept form of a linear equation, which is y = mx + b, where m represents the slope of the line and b represents the y-intercept.
To find the slope (m), you can use the formula:
m = (y₂ - y₁) / (x₂ - x₁),
where (x₁, y₁) and (x₂, y₂) are the coordinates of any two points on the line.
In this case, the two points given are (0, 300) and (450, 0). Let's assign (x₁, y₁) as (0, 300) and (x₂, y₂) as (450, 0).
Now, calculate the slope (m):
m = (0 - 300) / (450 - 0)
m = (-300) / (450)
m = -2/3
So, the slope of the line is -2/3.
Next, we need to find the y-intercept (b). Since the line goes through the point (0, 300), we can directly assign this as the y-intercept (b).
Therefore, the equation of the line is:
y = -2/3x + 300.
That's it! The equation of the line is y = -2/3x + 300.