Answer: [tex]y=4x-28[/tex]
Step-by-step explanation:
The Slope-intercept form of the equation of the line is:
[tex]y=mx+b[/tex]
m: is the slope.
b: the intersection of the line with the y-axis.
The equation of the line [tex]y=4x+2[/tex] has:
[tex]m=4\\b=2[/tex]
If both lines are parallel, then their slopes are equal. So the slope of the other line is:
[tex]m=4[/tex]
To find "b", substitute the given point and the slope into [tex]]y=mx+b[/tex] and solve for "b":
[tex]4=4(8)+b\\4-32=b\\b=-28[/tex]
Then the equation of this line is:
[tex]y=4x-28[/tex]
