# How do you write an equation of a line with slope 7 passing through the point (-1,3)?

Nov 10, 2016

$y = 7 x + 10$

#### Explanation:

If you have the slope of a line and one point on the line, substitute them into the "point-slope" form of a straight line.

$m = 7 \mathmr{and} \left(- 1 , 3\right)$

$y - {y}_{1} = m \left(x - {x}_{1}\right) \text{ } \leftarrow$ point-slope form

y-3 = 7(x-(-1)

$y - 3 = 7 \left(x + 1\right) \text{ } \leftarrow$ multiply out and simplify

$y = 7 x + 7 + 3$

$y = 7 x + 10$