To write the equation of a line in slope-intercept form, we use the formula:
[tex]\[ y = mx + b \][/tex]
where \( m \) represents the slope and \( b \) represents the y-intercept.
1. Identify the slope:
Given the slope \( m \) is \(\frac{2}{5}\).
2. Identify the y-intercept:
Given the y-intercept \( b \) is \(-1\).
3. Substitute the values into the slope-intercept form:
Substitute \( m = \frac{2}{5} \) and \( b = -1 \) into the equation \( y = mx + b \).
Thus, the equation of the line is:
[tex]\[ y = \frac{2}{5}x - 1 \][/tex]
To convert the fraction \( \frac{2}{5} \) to a decimal, we calculate \( \frac{2}{5} = 0.4 \).
Therefore, the equation in decimal form is:
[tex]\[ y = 0.4x - 1 \][/tex]
So, the final equation of the line is:
[tex]\[ y = 0.4x - 1 \][/tex]
