Find the equation of a line through (4,-5) perpendicular to 6x-2y=7
1 answer:
Answer: y=-1/3+2/3
Step-by-step explanation:
1. 6x-2y=7 subtract 6x from both sides.
2. -2y=-6x+7 divide both sides by -2 to isolate y
3. y=3x+7 that’s the y=Mx+b format, now we must find the negative inverse of the slope (m) which is -1/3.
4. Plug in variables.
-5=-1/3(4)+b
5. Solve:
-5=-4/3+b
add 4/3 to both sides to get -3 2/3=b
6. Make y=mx+b equation.
y=-1/3x+2/3
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