Write and equation of the line passing through point P(4,3) that is parallel to line y=1/2(x+4). Graph the equation of the lines to check that they are parallel.

9514 1404 393

  y -3 = 1/2(x -4)

Step-by-step explanation:

In point-slope form, the equation of the desired line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

__

Comparing this to the given equation, ...

  y = 1/2(x +4)

we see the given line has a slope of 1/2 and goes through point (-4, 0). Using the same slope for the parallel line, the equation for point (4, 3) is ...

  y -3 = 1/2(x -4)

8y^50

step-by-step explanation: