SOLUTION: find an equaction of a line with x-intercept 6 and y-intercept -5.

Question 1024887: find an equaction of a line with x-intercept 6 and y-intercept -5.
Found 2 solutions by Alan3354, rothauserc:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find an equaction of a line with x-intercept 6 and y-intercept -5.
-----------
With x-int of A and y-int of B:
Bx + Ay = A*B
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
using slope-intercept form, we have
:
y = mx -5, where m is the slope of the line
:
this tells us that when x is 0, the y intercept is -5
:
now solve this equation for x
:
x = (y+5) / m
:
we know that the x intercept is 6, therefore
:
6 = (0+5) / m
:
m = 5/6
:
*************************************************
y = (5/6)x -5 (slope intercept form of the line)
*************************************************
:
the standard form of a line is
:
Ax +By = C, where A is a positive integer and B and C are integers
:
Beginning with the slope intercept form, subtract y from both sides of =
:
(5/6)x -y -5 = 0
:
(5/6)x -y = 5
:
now multiply both sides of = by 6
:
**************************************************
5x -6y = 30 (standard form of the line)
**************************************************
RELATED QUESTIONS
How do I find the equation of the line with: 1) x-intercept= -3 and y-intercept= 2... (answered by lwsshak3)
Write an equation in standard form for a line with an x intercept of 3 and y intercept of (answered by Alan3354)
a line with an x intercept of 6 and a y intercept of -6 also contains the point (-5,k)... (answered by stanbon)
Find an equation of a line that has an x intercept of 6 and a y intercept of... (answered by josmiceli,ewatrrr,Alan3354)
find an equation in standard form of the line with x-intercept 5 and y-intercept 3. (answered by Tatiana_Stebko)
find an equation in Standard Form of the line with x - intercept 5 and y - intercept... (answered by MathLover1)
What is the equation of a line with an x intercept of 5 and a y intercept of... (answered by MathLover1)
Find the slope of a line that has an x-intercept of -2 and a y-intercept of... (answered by rfer)
Find the equation of the line with an x-intercept of 4 and a y-intercept of... (answered by jim_thompson5910)