PLEASE HELP!
What is the y coordinate of the y−intercept of the line that passes through the points
(−4, −1) and (4, 5)?

Question

PLEASE HELP!
What is the y coordinate of the y−intercept of the line that passes through the points 
(−4, −1) and (4, 5)?

anonymous · Answer

Okay first you need to calculate the equation of the line, for that you need the gradient of the line passing through the two points. 

$$m = (y _{2} - y_{1}) \div (x _{2} - x_{1})$$

where m is the gradient. Using this, you can select any of the points and compute gradient. The gradient is, m = 3/4

Now you use the general form of a linear equation to find the equation of the line:

$$y - y_{1} = m(x - x_{1})$$

You leave x and y as they are and select ONE of the point sets to be x1 and y1

Hence you get y-5 = 0.75(x-4)
y-5 = 0.75x - 3
y = 0.75x + 2

Remember, on the y axis, x=0

So the y-intercept is 2

anonymous · Answer

IM SO GRATEFUL ! THANK YOU SO MUCH! :D

anonymous · Answer

no problem :)