Question 650131: Find an equation of a line that has an x intercept of 6 and a y intercept of 4 Found 3 solutions by josmiceli, ewatrrr, Alan3354:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! This means the line goes through
(6,0) and (0,4)
The slope is ( change in y ) / ( change in x )
----------
The general form is = slope = y-intercept
------------------ answer
Here's the plot:
Hi,
Find an equation of a line that has an x intercept of 6 ,Pt(6,0)
and a y intercept of 4 , Pt(0,4)
Using the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
(6,0)
(0,4) m = -4/6 = -2/3 ||
Line:
y = (-2/3)x + b || Using (x,y) Ordered Pair Pt(0,4) to solve for b
4 = b
y = (-2/3)x + 4
You can put this solution on YOUR website! Find an equation of a line that has an x intercept of 6 and a y intercept of 4
--------------
For intercepts (A,0) and (0,B) --> Bx + Ay = A*B
4x + 6y = 24
2x + 3y = 12
---------
Or using the 2 points (6,0) & (0,4):
Slope m = diffy/diffx = 4/-6 = -2/3
------
y = mx + b
y = (-2/3)x + 4
------
Using determinants:
|x y 1|
|6 0 1| = 0
|0 4 1|
-----
x*(0-4) - y*(6-0) + 1*(24-0) = 0
-4x - 6y + 24 = 0
2x + 3y = 12
=================
The 1st method is quicker, but the other 2 work for any 2 points, not just intercepts.
