Question

Am I rent an electric scooter scooter to use for the day she has to pay a deposit and a minute rate using the information from this graph into the values that complete the equation for this solution y equals blank x + blank the graph shows a DOT at one, eight and another dot at 4, 17

Answer 1

To find the equation of the line described by the points (1, 8) and (4, 17), you can use the slope-intercept form of a linear equation, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

**Step 1: Calculate the slope (m)**

The slope \( m \) is calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points (1, 8) and (4, 17):

- \( (x_1, y_1) = (1, 8) \)
- \( (x_2, y_2) = (4, 17) \)

\[
m = \frac{17 - 8}{4 - 1} = \frac{9}{3} = 3
\]

**Step 2: Use the slope to find the y-intercept (b)**

Now that we have the slope \( m = 3 \), we can use one of the points to find \( b \). We'll use the point (1, 8):

\[
y = mx + b
\]
\[
8 = 3(1) + b
\]
\[
8 = 3 + b
\]
\[
b = 8 - 3 = 5
\]

**Step 3: Write the equation**

Now we have both components for the equation:

\[
y = 3x + 5
\]

So the completed equation is:

\[
y = 3x + 5
\]

Thus, the values to complete the equation \( y = \text{blank} \times x + \text{blank} \) are:

- Slope (m): 3
- Y-intercept (b): 5

So, the final answer would be \( y = 3x + 5 \).