Write an equation for a line perpendicular to and passing through the point (-6,2)

Question

Write an equation for a line perpendicular to  and passing through the point (-6,2)

anonymous · Answer

perpendicular to what?

anonymous · Answer

perpendicular to y=-2x-2

anonymous · Answer

perpendicular to $y=-2x-2$ a line with slope $-2$ will have slope $\frac{1}{2}$

anonymous · Answer

your slope is $\frac{1}{2}$ and your point is $(-6,2)
$ use the point slope formula to find the equation of the line

anonymous · Answer

$$y-y_1=m(x-x_1)$$ with $m=\frac{1}{2},x_1=-6,y_1=2$
$$y-2=\frac{1}{2}(x+6)$$

anonymous · Answer

If an equation is in y = mx+b form, then the slope is m. The slope of a perpendicular has the opposite reciprocal as it's slope. That is, flip it and then make it negative.

anonymous · Answer

$$y-2=\frac{1}{2}x+3$$
$$y=\frac{1}{2}x+5$$

anonymous · Answer

Thank you! I have another problem if you're willing to help!(:

anonymous · Answer

It costs XYZ Corporation $7500 to produce 1400 units and $4440 to produce 500 units. Let C represent the cost in dollars and x represent the number of units produced. Find a linear equation for C  in terms of x.