SAT Linear functions Practice Question 14 (Medium)

Math · AlgebraMedium

Line $k$ is defined by $y = \frac{3}{4}x - 2$ . Line $j$ is parallel to line $k$ and passes through the point $(8, 1)$ . What is the $y$ -coordinate of the $y$ -intercept of line $j$ ?

$-5$

$-2$

$1$

$7$

Show answer and explanation

Answer: A

Parallel lines have equal slopes, so line $j$ is $y = \frac{3}{4}x + b$ . Substitute $(8, 1)$ : $1 = 6 + b$ , so $b = -5$ .

Choice B is the intercept of line $k$ ; parallel lines have the same slope but different intercepts.

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