Respuesta :
When you're given a parallel line, that means you know that both lines should have the same slope m.
And you're given a point (x,y) so you plug in the x for [tex] x_{1} [/tex] in the equation and y for [tex] y_{1} [/tex] in the equation.
Also plug in m because that was given.
y - [tex] y_{1} [/tex] = m(x - [tex] x_{1} [/tex])
Then you can simplify the equation to get y = mx + b
And you're given a point (x,y) so you plug in the x for [tex] x_{1} [/tex] in the equation and y for [tex] y_{1} [/tex] in the equation.
Also plug in m because that was given.
y - [tex] y_{1} [/tex] = m(x - [tex] x_{1} [/tex])
Then you can simplify the equation to get y = mx + b
we need to get the parallel line into slope-intercept form is y=mx+n
and the POINT(A,B)
and we write the new equation y-B=m(x-A)+n
[https://en.wikipedia.org/wiki/Linear_equation]
and the POINT(A,B)
and we write the new equation y-B=m(x-A)+n
[https://en.wikipedia.org/wiki/Linear_equation]