Which equation has a graph in the xy-plane with a slope of -25 and a y-intercept of (0, 3)?

SAT Linear equations in two variables Practice Question 7 (Medium)

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Question bank / Linear equations in two variables

Math · AlgebraMedium

Which equation has a graph in the $xy$ -plane with a slope of $-\frac{2}{5}$ and a $y$ -intercept of $(0, 3)$ ?

$2x + 5y = 15$

$2x - 5y = -15$

$5x + 2y = 6$

$5x + 2y = 15$

Show answer and explanation

Answer: A

Solve $2x + 5y = 15$ for $y$ : $5y = -2x + 15$ , so $y = -\frac{2}{5}x + 3$ . This has slope $-\frac{2}{5}$ and $y$ -intercept 3.

Choice B has the right intercept but a slope of $+\frac{2}{5}$ .

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