Question 61) The answer is: [C]: " y = - 2x − 1 " .
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Note: All of the FOUR (4) answer choices are written in "slope-intercept form" ; that is: " y = mx + b " ;
in which: "y" exists as a single, stand-alone variable on the far left-side of the equation; "m" is the slope of the line (may be positive or negative or non-existent)—and is the coefficient of "x" ; and "b" is the "y -intercept" of the line of the equation—and may be positive or negative (or non-existent).
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So; we are to find the equation with:
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a "y -intercept" of "-1" ; AND:
a "slope of "-2" ;
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By looking at the answer choices; Choice [A] is the only option in which:
"m" (the slope; that is the coefficient of "x"); is equal to "-2" . So we know that should be our answer. Also, this is the only answer choice where the value of "b" ; that is, the "y-intercept" ; is equal to: "-1" .
→ So; we should know by looking at the choices. We can further confirm by examining the answer choices to confirm BOTH criteria.
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Question 62) The answer is: [A]: " y − 1 = 3(x − 2)" .
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Explanation: Looking at the FOUR (4) answer choices, you can see that ALL of the options are written in the "point-slope format" ; that is: "y − y₁ = m(x − x₁) "
Given the first of the two points: "(2, 1) " → "(x₁ , y₁) " ; in which "y₁ = 1" ;
The only answer choice with "y - y₁" being "y − 1" ; is: "Choice: [A]:
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