Question

10 mark for review
in the xy-plane, line s passes through the point (0,0) and is parallel to the line represented by the equation y = 18x + 2. if line s also passes through the point (4, d), what is the value of d?
a 2
b 18
c 72
d 74

Explanation:

Step1: Determine slope of line \( s \)

Parallel lines have equal slopes. The line \( y = 18x + 2 \) has slope \( 18 \), so line \( s \) also has slope \( 18 \).

Step2: Find equation of line \( s \)

Line \( s \) passes through \( (0,0) \), so its y - intercept \( b = 0 \). Using slope - intercept form \( y=mx + b \), the equation of line \( s \) is \( y = 18x+0=18x \).

Step3: Calculate \( d \)

Line \( s \) passes through \( (4,d) \). Substitute \( x = 4 \) into \( y = 18x \): \( d=18\times4 = 72 \).

Answer:

C. 72