# How do you write the slope-intercept equation of a line containing (4, -1) and with a slope of 3/5?

Aug 22, 2017

$y = \frac{3}{5} x - \frac{17}{5} \text{ " or" } y = \frac{3}{5} x - 3 \frac{2}{5}$

#### Explanation:

$y = m x + b \text{ }$ with $\text{ "m = 3/5 " "y = -1 " } x = 4$

substituting and solving for b gives

$- 1 = \left(\frac{3}{5}\right) 4 + b \text{ }$ this gives

$- 1 = \frac{12}{5} + b \text{ }$ subtracting $\frac{12}{5}$ from both sides gives

$- 1 - \frac{12}{5} = b \text{ }$ This gives

$- \frac{17}{5} = b$ so the slope intercept form would be

$y = \frac{3}{5} x - \frac{17}{5}$