Question

What is the equation, in slope-intercept form, of the line that passes through (0, 3) and has a slope of −6?

Answer 1

The answer is

`y = - 6x - 3`

Explanation:

To find the equation of the line given a point and slope we use the formula

`y - y_(1) = m(x - x _(1))`

where

m is the slope

( x1 , y1) is the point

From the question the point is (0 , 3) and slope is - 6

Substitute the values into the above formula and solve

That's

`y - 3 = - 6(x - 0) \\ y - 3 = - 6x`

We have the final answer as

`y = - 6x - 3`

Hope this helps you