What is the equation of the line in slope–intercept form that passes through the point (0, 3) and is perpendicular to the line y = 2x – 6?

Question

campbell_st · Answer

the slope of the given line is m = 2

find the negative reciprocal of m

thats the slope of the perpendicular

or 

$$m_{l} \times m_{p} = -1$$            l = line,   p = perpendicular

campbell_st · Answer

then when you have the slope, the equation of the line will be

y = mx + b     you already have m. 

substitute the values from the point (0, 3) into the equation to find b