# How do you write an equation in slope intercept form given (5, 1) and (-4, 7)?

##### 1 Answer

Mar 19, 2016

The equation is y = -

#### Explanation:

The slope intercept form is y = mx +c

where m is the slope and c is the intercept

To find m, find the difference between the y values divided by the difference between the corresponding x values of the two points

The points are (5, 1) and (-4, 7)

so

m =

Substitute m into y = mx + c giving

y = -

to find c, substitute one of the given points into the above

So using (5, 1)

1 = -

1 = -

c = 1 +

It is best to keep the values as fractions, so the slope intercept form of the equation is

y = -