Write the equation of the line passing through (-1,4) and PERPENDICULAR to x+2y=11

Answer 1

find the slope first by getting y alone

2 y = -x + 11

y = (-1/2)x + 11/2

parallel slope is the same, perpendicular slope is -1/m

m = -1/2, perpendicular slope is +2/1 = 2

point-slope method y - y1 = m(x - x1)

point (x1, y1) is (-1,4) , m = 2

equation then is y - 4 = 2(x - -1) y - 4 = 2x + 2 (point-slope form)

get y alone for slope intercept form y = 2x + 6

x and y same side for standard form : 2x - y = -6