Answer:
y = 6x-10 or y-2 = 6(x-2)
Explanation:
If two lines are parallel, it means that they have the same slope.
From the question, we are told that line j is parallel to k, this means that line j has the same slope as k.
First we need to determine the skipe of the like j.
Given equation of line j expressed as
y − 6 = 6(x − 4). To get the slope, we will compare the equation with the general equation y = mx+c where m is the slope.
Rewrite the given equation in standard form
y − 6 = 6(x − 4)
y-6 = 6x-24
y = 6x-24+6
y = 6x-18
Comparing this with y = mx+c, m = 6
Hence the slope of line k is also 6.
The equation of line k passing through the point (2,2) is expressed using the formula y-y0 = m(x-x0)
x0 = 2 and y0 = 2
y-2 = 6(x-2)
y-2 = 6x-12
y = 6x-12+2
y = 6x-10
Hence the equation of the line k in slope intercept form is y = 6x-10