# How do you write an equation in standard form if the line passes through (1,2), slope = 7?

Jun 29, 2018

$7 x - y = 5$

#### Explanation:

Given: (1, 2); m = 7

The equation in point-slope form $y - {y}_{1} = m \left(x - {x}_{1}\right)$:
$y - 2 = 7 \left(x - 1\right)$

Distribute the ride side: $\text{ } y - 2 = 7 x - 7$

Add $2$ to both sides: $\text{ } y = 7 x - 5$

Put the equation in standard form $A x + B y = C :$

$7 x - y = 5$