Question

Y+7= -2/5 (x-10) What is the standard form of the equation for this line?

Answer 1

The standard form of the equation of a line:

`Ax+By=C`

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`y+7=-(2)/(5)(x-10)\qquad|\text{use distributive property}\\\\y+7=-(2)/(5)x+\left(-(2)/(5)\right)(-10)\\\\y+7=-(2)/(5)x+2\cdot2\\\\y+7=-(2)/(5)x+4\qquad|\text{multiply both sides by 5}\\\\5y+35=-2x+20\qquad|\text{add 2x to both sides}\\\\2x+5y+35=20\qquad|\text{subtract 35 from both sides}\\\\2x+5y=-15`