Find the equation of the line that passes through ( 4 , 1 ) and is parallel to the line passing through ( 7 , 11 ) and ( 10 , 20 ) .

-----> equation into point slope form

 -----> equation into slope intercept form

-----> equation in standard form

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

step 1

Find the slope of the line passing through ( 7 , 11 ) and ( 10 , 20 )

The slope m is equal to

step 2

Find the equation of the line with m=3 that passes through (4,1)

The equation of the line into point slope form is equal to

substitute

-----> equation into point slope form

Convert to slope intercept form

isolate the variable y

 -----> equation into slope intercept form

Convert to standard form

-----> equation in standard form

the answer

b. they are parallel and will never intersect.