The point-slope form of the equation of the line that passes through negative 5 comma negative 1 and 10 comma negative 7 is y plus 7 is equal to negative 2 fifths open paren x minus 10 close paren What is the standard form of the equation for this line?
Answer
A
2 x plus 5 y is equal to negative 15
B
2 x plus 5 y is equal to negative 17
C
2 x minus 5 y is equal to negative 15
D
2 x minus 5 y is equal to negative 17
Explanation
Start with y + 7 = −(2/5)(x − 10). Multiply both sides by 5 to clear the fraction: 5y + 35 = −2x + 20. Rearranging gives 2x + 5y = −15, which is choice A, “2x plus 5y is equal to negative 15.”
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