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.

Question

Change that equation to Standard form.

Answer 1

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.

Answer 2

Change that equation to Standard form.

Answer 3

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

Answer 4

are you sure

Answer 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.