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