An electrician charges a fee of $45 plus $30 per hour. Let y be the cost in dollars of using the electrician for x hours. Find the slope-intercept form of the equation

y = 45+30x

To find the slope-intercept form of the equation, let's break down the given information.

The electrician charges a fee of $45 plus $30 per hour. So, for x hours, the fee would be $30x.

The total cost of using the electrician for x hours is the sum of the fee and the hourly rate, which can be represented by the equation:

y = 30x + 45.

This equation is in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

In this case, the slope is 30, which represents the hourly rate charged by the electrician, and the y-intercept is 45, which represents the initial fee.

Hence, the slope-intercept form of the equation is y = 30x + 45.

To find the slope-intercept form of the equation, we need to determine the relationship between the cost of using the electrician and the number of hours.

According to the given information, the electrician charges a fee of $45 plus $30 per hour. This means that the initial cost, irrespective of the number of hours, is $45. Then, for each additional hour, there is an additional charge of $30.

We can express this relationship using the equation:

y = 30x + 45

In this equation, y represents the cost in dollars of using the electrician for x hours.

Therefore, the slope-intercept form of the equation is y = 30x + 45.