How do you write the equation y-7=-3/4(x+5) in slope intercept form?

Jul 7, 2017

$y = - \frac{3}{4} x + \frac{13}{4}$

Explanation:

The slope-intercept form of a line is $y = m x + b$. In order to convert the above equation into this form, isolate $y$ and simplify the right-hand side.

$y - 7 = - \frac{3}{4} \left(x + 5\right)$

$y = - \frac{3}{4} \left(x + 5\right) + 7$

$y = - \frac{3}{4} x - \frac{15}{4} + 7$

$y = - \frac{3}{4} x - \frac{15}{4} + \frac{28}{4}$

$y = - \frac{3}{4} x + \frac{13}{4}$