SOLUTION: The x and y intercepts of a straight line are 5 and - 7 respectively. Find the equation of the line.

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Question 1205126: The x and y intercepts of a straight line are 5 and - 7 respectively. Find the equation of the line.
Found 3 solutions by MathLover1, mccravyedwin, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the x-intercept is 5 => point (5,0)
the y-intercept is -7 => point (0,-7)
the equation of the line:
y=mx%2Bb
where m is a slope and b is y-intercept
find a slope using two points above
m=%28-7-0%29%2F%280-5%29=-7%2F-5=7%2F5=1.4
your equation is:
y=1.4x-7
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1.4x-7%29+




Answer by mccravyedwin(408) About Me  (Show Source):
You can put this solution on YOUR website!

You can also use the intercept formula for a line which is:

x%2Fa%22%22%2B%22%22y%2Fb%22%22=%22%221

where 'a' is the x-intercept and 'b' is the y-intercept.

x%2F5%22%22%2B%22%22y%2F%28-7%29%22%22=%22%221

x%2F5%22%22-%22%22y%2F7%22%22=%22%221

Multiply through by 35 to clear the fractions:

7x%22%22-%22%225y%22%22=%22%2235

Edwin

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The x and y intercepts of a straight line are 5 and - 7 respectively. Find the equation of the line.
----------
| x   y   1|
| 5   0   1| = 0
| 0  -7   1|
--------------------

x*(0 + 7) - y*(5 - 0) + 1*(-35 - 0) = 0
7x - 5y = 35