Question

Rent equation of the line is slope intercept form that passes through the point zero, 2.3 and 5, -1.9 the equation in slope intercept form is blank equals blank x + blank

Answer 1

To find the equation of the line in slope-intercept form (y = mx + b) that passes through the points (0, 2.3) and (5, -1.9), we need to calculate the slope (m) first.

1. **Calculate the slope (m):**
The formula to calculate the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Using the points (0, 2.3) and (5, -1.9):
- \( x_1 = 0 \), \( y_1 = 2.3 \)
- \( x_2 = 5 \), \( y_2 = -1.9 \)

Plugging in the values:
\[
m = \frac{-1.9 - 2.3}{5 - 0} = \frac{-4.2}{5} = -0.84
\]

2. **Use the slope and a point to find the y-intercept (b):**
We can use the point (0, 2.3) to find \( b \). The coordinate point tells us that when \( x = 0 \), \( y = 2.3 \), which is also the y-intercept.

Therefore, \( b = 2.3 \).

3. **Write the equation in slope-intercept form:**
Now that we have \( m \) and \( b \), we can write the equation:
\[
y = -0.84x + 2.3
\]

So, the equation in slope-intercept form is:
\[
y = -0.84x + 2.3
\]

To fill in your blanks:

**blank equals blank x + blank** would be:
- **y** equals **-0.84** x + **2.3**.