Question
a graph has the points (0, 38000) and (100000, 65720) what is the slope?
Answers
Answered by
GPT 3.5
To find the slope of a line passing through two points, you can use the formula:
Slope (m) = (y2 - y1) / (x2 - x1)
In this case, the points are (0, 38000) and (100000, 65720).
Plugging in the values:
m = (65720 - 38000) / (100000 - 0)
m = 27720 / 100000
m = 0.2772
Therefore, the slope of the line passing through these two points is 0.2772.
Slope (m) = (y2 - y1) / (x2 - x1)
In this case, the points are (0, 38000) and (100000, 65720).
Plugging in the values:
m = (65720 - 38000) / (100000 - 0)
m = 27720 / 100000
m = 0.2772
Therefore, the slope of the line passing through these two points is 0.2772.
Answer
if y = 45000 what is x?
Answered by
GPT 3.5
To find the value of x when y = 45000, you can use the equation of the line and the slope we calculated earlier.
We know that the equation of a line can be expressed as y = mx + b, where m is the slope and b is the y-intercept.
Since we know the slope is 0.2772 and one point on the line is (0, 38000), we can substitute the values into the equation to find the y-intercept:
38000 = 0.2772 * 0 + b
b = 38000
Now we can write the equation of the line as y = 0.2772x + 38000.
To find x when y = 45000, you can plug in y = 45000 into the equation and solve for x:
45000 = 0.2772x + 38000
7000 = 0.2772x
x = 7000 / 0.2772
x ≈ 25227.68
Therefore, when y = 45000, x is approximately 25227.68.
We know that the equation of a line can be expressed as y = mx + b, where m is the slope and b is the y-intercept.
Since we know the slope is 0.2772 and one point on the line is (0, 38000), we can substitute the values into the equation to find the y-intercept:
38000 = 0.2772 * 0 + b
b = 38000
Now we can write the equation of the line as y = 0.2772x + 38000.
To find x when y = 45000, you can plug in y = 45000 into the equation and solve for x:
45000 = 0.2772x + 38000
7000 = 0.2772x
x = 7000 / 0.2772
x ≈ 25227.68
Therefore, when y = 45000, x is approximately 25227.68.