Choose the slope-intercept equation of the line that passes through the point (6, 4) and is parallel to y = (1)/(3)x - 3.
a. y = 3x - 14
b. y = (1)/(3)x + 2
c. y = -3x + 22
d. y = -(1)/(3)x + 2

Question

Choose the slope-intercept equation of the line that passes through the point (6, 4) and is parallel to y = (1)/(3)x - 3.
a. y = 3x - 14
b. y = (1)/(3)x + 2
c. y = -3x + 22
d. y = -(1)/(3)x + 2

mathmate · Answer

Hint: 
Here the slope is a=1/3.
The line with given slope a and passes through (x0,y0) is
y=a(x-x0)+y0
Substitute x0,y0 and simplify to get the line.