Question

Randolph is trying to find the equation of a line parallel to y = '1 over 4 x − 6 in slope-intercept form that passes through the point (−1, 5). Which of the following equations will he use? (6 points)

Answer 1

Answer:

y - 5 = $\frac{1}{4}$ (x - (-1))      The First Option

Step-by-step explanation:

if your on question 13 of (04.02 MC)

then that should be the answer.

Answer 2

So remember that paralell lines have the same slope
y=1/4x-6
1/4=slope
so we set up a new equation in slope intercept form
y=mx+b
m=slope
b=y-intercept

y=1/4x+b

one solution si (-1,5) where x=-1 and y=5
subsitute
5=1/4(-1)+b
5=-1/4+b
add 1/4 to both sides
5+1/4=21/4=b

the answer is y=1/4x+21/4