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

Solution

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

Compare the given equation $ y = 25 + 32x $ with the standard form $ y = mx + b $.
Identify the coefficient of $ x $ as the slope $ m $.
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 $.