Question

Find the equation the line with an x-intercept at (-3, O) and y-

intercept at (0, -6).
Enter your answer in slope-intercept form, y= mx +b.

Answer 1

Explanation:

So in here we can put the y-intercepts and x-intercepts together as (x, y), (x, y). (-3,0), (0,-6). And let's name them as X one, Y one and X two, Y two.

After that let's find the gradient(m) frist :

m = x-x1 / y - y1

= 0 - - 3 / -6 - 0

= 3/-6

= - 1/2

Then let's find the equation of the line :

Now we need to take one of the ys and xs we

had, (-3,0) and (0,-6). Let's take (-3,0) and the

m which is -1/2 :

y-y1 = m (x-x1)

y - 0 = -1/2 ( x - - 3)

y = -1/2 ( x +3)

y = - 1/2x - 3/2

Hope u find this helpful : )