4x + y = 10 is a perfectly valid functional form. The standard form is 4x + y - 10 = 0
4x + 2y = -8 → 2y = -4x - 8 → y = -2x - 4
Let's see. 4X - 5Y = - 20 - 5Y = - 4X - 20 Y = 4/5X + 20 slope(m) = 4/5 Is positive
(4x - 7y)(4x + 7y)
(z - 4)(x + y)
-- The slope of the graph of [ 4x + y = 2 ] is -4.-- The slopes of perpendicular lines are negative reciprocals.-- The slope of any line perpendicular to [ 4x + y = 2 ] is 1/4 .
4x+2y = 6 2y = -4x+6 y = -2x+3 Perpendicular slope is 1/2
y equals 4x+1 is a parallel line to y equals 4x.
Parallel. They both have a slope of 4.
If you mean: y = 4x+2 then the line perpendicular to it will have a slope of -1/4
If you mean: y = 4x+5 then the perpendicular slope is -1/4
If you mean: y = -4x+3 then the perpendicular slope is 1/4
y = -x/4
If you mean: y = 3/4x-0.5 then the perpendicular equation could be y = -4/3x-5
6
4x + y + c = 0 or, for a line going through a given point (xo, yo): y + 4x - (xo + yo) = 0 The gradient of a line multiplied by the gradient of a line perpendicular to it is -1; or in other words: The gradient of the perpendicular line is the negative reciprocal of the gradient of the line. Thus: 2x - 8y + 23 = 0 ⇒ 8y = 2x + 23 ⇒ y = 1/4x + 23/8 ⇒ gradient of perpendicular line is -1 ÷ 1/4 = -4 Thus the equation of the perpendicular line to 2x - 8y + 23 = 0 is 4x + y + c = 0. To find the line through point (xo, yo) perpendicular to 2x - 8y + 23 = 0, use the format: y - yo = m(x - xo) ⇒ y - yo = -4(x - xo) ⇒ y + 4x - (xo + yo) = 0
6