Question

How do you write an equation for the line in slope intercept form that is parallel to the given line and that passes through the given point y = x + 9; (–1, 3)?

Answer 1

The Given line is `y= x+9`, its slope will be =1
So any line parallel to this will have same slope `m=1`
Let the equation of any line parallel to the given line in slope intercept form be
`y= mx+c=>y=x+c`
It passes through the given point (-1,3)
So we can write
`3=-1+c=>c=4`
Hence the equation of the line is
`y=x+4`