Question

Write the standard form of the equation of the line described.

through: (-2,4) parallel to y= -3/2x+3

through (2,4) perpendicular to y= -2/7x-5

through (5,0) perpendicular to y= -x+5

Answer 1

Well Perpendicular lines have a negative reciprocal of their orginal slope..
and Parralllel lines have the same slope as its orginal equation..

Plug in each point after determining the slope into the equation:
(y-y1) = m (x-x1)

Answer 2

can you show me in the equation

Answer 3

Here I ll do one equation:

Answer 4

First one since it says PARALLEL: the slope would be the same..so in this case
M = -3/2

The ordered pair given is: (-2, 4) as in (x1, y1)
Now plug them in:
(y-y1)=m(x-x1)
(y-4) = -3/2(x +2)

y - 4 = -3/2x -3
y = -3/2x + 1

Woudl be your equation