Question

So I need help with 2 questions. This is what is being asked. Write the slope-intercept forms of the equations of the lines through the given point (a) parallel to the given line and (b) perpendicular to the given line.

1. (3, -2) x - y =0
2. (-4, 1) y + 2 = 0

Please Help and Thank You

Answer 1

parallel lines have the same slope
perpendicular lines have slopes which are negative reciprocals. That is, m1 * m2 = -1

The line x-y=0 has slope=1
so, the point-slope form of the line you want is

y+2 = 1(x-3)

to change that to slope-intercept form, you want y = mx+b, so it's just a matter of rearranging the data

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

The perpendicular line has slope -1, so it is thus

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

Do the other line the same way.

Answer 2

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