# What is the equation of the line with slope  m= 7  that passes through  (1,-3) ?

Apr 5, 2016

$y = 7 x - 10$

#### Explanation:

x_1=1;

${y}_{1} = - 3$

$\frac{y - {y}_{1}}{x - {x}_{1}} = 7$

$\frac{y + 3}{x - 1} = 7$

$7 \left(x - 1\right) = y + 3$

$7 x - 7 = y + 3$

$y = 7 x - 7 - 3$

$y = 7 x - 10$