SOLUTION: A line passes through (–2, –10) and (9, –4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.

Algebra ->  Linear-equations -> SOLUTION: A line passes through (–2, –10) and (9, –4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.      Log On


   

Question 846965: A line passes through (–2, –10) and (9, –4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The formula for the slope is,
m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-4-%28-10%29%29%2F%289-%28-2%29%29
m=%28-4%2B10%29%2F%289%2B2%29
m=%286%2F11%29
In point slope form,
y-%28-4%29=%286%2F11%29%28x-9%29
y%2B4=%286%2F11%29x-54%2F11
y=%286%2F11%29x-54%2F11-44%2F11
highlight%28y=%286%2F11%29x-98%2F11%29
Then to get to standard form,
11y=6x-98
-6x%2B11y=-98
highlight%286x-11y=98%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A line passes through (–2, –10) and (9, –4).
a. Write an equation for the line in point-slope form.
slope = (-4--10)/(9--2) = 6/11
Form: y = mx + b
Solve for "b":
-10 = (6/11)*-2 + b
-10 = -12/11 + b
b = -110/11 + 12/11
b = -98/11
Equation:
y = (6/11)x - (98/11)
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b. Rewrite the equation in standard form using integers.
Multiply thru by 11 to get:
6x - 11y = 98
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Cheers,
Stan H.