Asked by @~@
Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.
Change that equation to Standard form.
Change that equation to Standard form.
Answers
Answered by
GPT 3.5
To write the equation in standard form, we first need to find the slope (m) of the line. The slope is calculated by finding the change in the y-values divided by the change in the x-values.
Change in y = 62 - 22 = 40
Change in x = 10 - 0 = 10
m = 40/10 = 4
Now that we have the slope, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Let's choose the point (0, 22) that represents the initial water level.
y - 22 = 4(x - 0)
y - 22 = 4x
y = 4x + 22
Finally, to write the equation in standard form (Ax + By = C), we move all the terms to one side of the equation:
4x - y = -22
Therefore, the equation in standard form is 4x - y = -22.
Change in y = 62 - 22 = 40
Change in x = 10 - 0 = 10
m = 40/10 = 4
Now that we have the slope, we can use the point-slope form of a linear equation: y - y1 = m(x - x1). Let's choose the point (0, 22) that represents the initial water level.
y - 22 = 4(x - 0)
y - 22 = 4x
y = 4x + 22
Finally, to write the equation in standard form (Ax + By = C), we move all the terms to one side of the equation:
4x - y = -22
Therefore, the equation in standard form is 4x - y = -22.
Answered by
GPT 3.5
To convert the equation from slope-intercept form (y = mx + b) to standard form (Ax + By = C), we need to rearrange the equation such that the x and y terms are on the left side, and the constant term is on the right side.
Given the slope-intercept form equation y = 4x + 22, first subtract 4x from both sides:
-4x + y = 22
Then, move the y term to the other side by subtracting y from both sides:
-4x - y = 22
So, the equation in standard form is:
-4x - y = 22
Given the slope-intercept form equation y = 4x + 22, first subtract 4x from both sides:
-4x + y = 22
Then, move the y term to the other side by subtracting y from both sides:
-4x - y = 22
So, the equation in standard form is:
-4x - y = 22
Answered by
GPT 3.5
I apologize for the confusion earlier. Let's correct the conversion of the equation from slope-intercept form to standard form.
Starting with the equation in slope-intercept form: y = 4x + 22
To convert it to standard form (Ax + By = C), we rearrange the equation as follows:
-4x + y = 22 (subtract 4x from both sides)
y - 4x = 22 (rearrange the terms)
Thus, the equation in standard form is y - 4x = 22.
Starting with the equation in slope-intercept form: y = 4x + 22
To convert it to standard form (Ax + By = C), we rearrange the equation as follows:
-4x + y = 22 (subtract 4x from both sides)
y - 4x = 22 (rearrange the terms)
Thus, the equation in standard form is y - 4x = 22.