Question

Write the equation of a line in slope-intercept form that is parallel to the line y = 3x +2 and passes through the point (5, 2).
A. y = 3x – 5
B. y = 3x – 13
C. y = 3x – 1
D. y = 3x + 2

Answer 1

It's B

Answer 2

Given line y= 3x+2
standard equation of a line y=mx+c, m is slope, c is intercept
for given line m=3
line parallel to it will also have a slope of 3
so let its equation be
y=3x+c
c?
the line passes through (5,2)
2=3*5+c
2=15+c
c=-13
y=3x-13
option B