Answer:
[tex]y=3x-5[/tex]
Step-by-step explanation:
step 1
Find the slope
we know that
If two lines are parallel, then their slopes are equal
The slope of the given line is [tex]m=3[/tex]
so
The slope of the line parallel to the given line is also [tex]m=3[/tex]
step 2
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=3[/tex]
[tex]point\ (4,7)[/tex]
substitute
[tex]y-7=3(x-4)[/tex]
step 3
Convert to slope intercept form
isolate the variable y
[tex]y-7=3x-12\\y=3x-12+7\\y=3x-5[/tex]
