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

option: A is correct.

Step-by-step explanation:

We are given a equation of a line as:

on comparing the equation with slope intercept form of aline:

we have:

and

Since any line parallel to the other line has same slope.

Hence slope of new line=

Also the new line passes through the point (-1,5)

We know that equation of any line passing through (a,b) and having slope 'm' is given by:

Here a=-1, b=5 and m=

Hence, the equation of new line is:

Hence, option A is correct.

25% is the answer