Question

Given: 4x – 2y = 8 Transform the equation into slope-intercept form. Find the slope and y-intercept of the line. Find the equation, in point-slope form, of the line that is perpendicular to this line and passes through the point (1, 2).

Answer 1

y = 2x - 4 slope: 2 y intercept: -4

equation of perpendicular line pass (1,2): y = -1/2 * x + 2.5

Explanation:

4x - 2y = 8

2y = 4x - 8

y = 2x - 4

slope: 2

y intercept: -4

slope of perpendicular line: -1/2

2 = -1/2 * 1 + b

b = 2.5

equation of perpendicular line pass (1,2): y = -1/2 * x + 2.5