Questions: Ali repairs household appliances like ovens and stoves. For each visit, they charges 25 plus 32 per hour of work. A linear equation that expresses the total amount of money Ali earns per visit is y=25+32x. Identify the slope and the y-intercept. Enter slope first then y-intercept separated by a comma. Do not enter the y-intercept as a point.

Ali repairs household appliances like ovens and stoves. For each visit, they charges 25 plus 32 per hour of work. A linear equation that expresses the total amount of money Ali earns per visit is y=25+32x. Identify the slope and the y-intercept. Enter slope first then y-intercept separated by a comma. Do not enter the y-intercept as a point.
Transcript text: ek 8: Correlation and Causation Sunday by 1:59am Points 10 Submitting an external tool Question Ali repairs household appliances like ovens and stoves. For each visit, they charges $\$ 25$ plus $\$ 32$ per hour of work. A linear equation that expresses the total amount of money Ali earns per visit is $y=25+32 x$. Identify the slope and the $y$-intercept. Enter slope first then $y$-intercept separated by a comma. Do not enter the $y$-intercept as a point. Provide your answer below: $\square$ 7 8 9 $\div$ $x$ $y$ $x^{2}$ $\sqrt{ }$ Previous Next
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Solution

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Solution Steps

To identify the slope and the y-intercept from the linear equation \( y = 25 + 32x \), we need to recognize the standard form of a linear equation, which is \( y = mx + b \). Here, \( m \) represents the slope, and \( b \) represents the y-intercept. By comparing the given equation to the standard form, we can directly identify the values of the slope and the y-intercept.

Solution Approach
  1. Compare the given equation \( y = 25 + 32x \) with the standard form \( y = mx + b \).
  2. Identify the coefficient of \( x \) as the slope \( m \).
  3. Identify the constant term as the y-intercept \( b \).
Step 1: Identify the Linear Equation Components

The given linear equation is \( y = 25 + 32x \). This equation is in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

Step 2: Determine the Slope

In the equation \( y = 25 + 32x \), the coefficient of \( x \) is \( 32 \). Therefore, the slope \( m \) is \( 32 \).

Step 3: Determine the Y-Intercept

The constant term in the equation is \( 25 \). Therefore, the y-intercept \( b \) is \( 25 \).

Final Answer

The slope is \( 32 \) and the y-intercept is \( 25 \). Thus, the answer is \(\boxed{32, 25}\).

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