High School

How do I figure out the slope and y-intercept of the equation:

\[36000 + 1500x = 29000 + 2500x\]

Answer :

Final answer:

To find the slope and y-intercept of the equation 36000 + 1500x = 29000 + 2500x, rearrange the equation in the form y = mx + b. The slope is 1000 and the y-intercept is 7000.

Explanation:

To find the slope and y-intercept of the equation 36000 + 1500x = 29000 + 2500x, we need to rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept.

First, let's simplify the equation:

36000 + 1500x = 29000 + 2500x

Subtract 1500x and 29000 from both sides:

7000 = 1000x

Divide both sides by 1000:

x = 7

So, the slope is 1000 and the y-intercept is 7000. The equation can be written as y = 1000x + 7000.

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