Write an equation in slope-intercept form of the line perpendicular to the line x + 2y= -2 containing the point (-3, -4)

First off, let's put x + 2y = -2 in slope-intercept form, so can see what its slope is,



so, as we can see, it has a slope of -1/2.

now, a perpendicular line to that one, will have a negative reciprocal slope,



so, we're really looking for a line whose slope is 2 and runs through -3,-4.

I’m going to infer you said parallel.solve for yy= -1/2x+7/4lines that are parallel have the same slope, different y intercept.so we know m is -1/2then from there solve for y intercept.