Can anyone help with these math problem?

Question

Find the equation in point-slope form of the lines through point P(2,0) that are a.) parallel to and b.) perpendicular to the line x+2y=3

Find an equation in slope intercept form through line point P(-3,2) and perpendicular to the line containing the points (2,3) and (1,-2)

Answer 1

Greetings,

slope of x + 2y = 3 is -1/2

The line parallel to this and passing through (2,0) is

y = (-1/2)(x - 2)

y = -x/2 + 1

The line perpendicular to this has slope 2

y = 2(x - 2)

y = 2x - 4

the slope of the line is (-2 - 3)/(1 - 2) = 5, the perpendicular has slope -1/5

y - 2 = (-1/5)(x + 3)

y = -x/5 - 3/5 + 2

y = -x/5 + 7/5

Regards