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

Find the equation of the line that passes through

rleiphart1

13.03.2022

y-1=3(x-4) -----> equation into point slope form

y=3x-11 -----> equation into slope intercept form

3x-y=11 -----> 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

m=(20-11)/(10-7)=3

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

y-y1=m(x-x1)

substitute

y-1=3(x-4) -----> equation into point slope form

Convert to slope intercept form

y=mx+b

isolate the variable y

y=3x-12+1

y=3x-11 -----> equation into slope intercept form

Convert to standard form

Ax+By=C

3x-y=11 -----> equation in standard form

0,0(0 оценок)