Write the equation in slope-intercept form of the line that contains (3,4) and is perpendicular to y=-2x-4

If a line is perpendicular to other his slopes are the opposite inverse of each other

So, if y = - 2x - 4 we have the slope of - 2, so the slope of the other line will be the opposite inverse which means

opposite of - 2 = 2

inverse of 2 = 1/2

So our slope is 1/2

(y - yo) = m. (x - xo)

(y - 4) = 1/2. (x - 3)

y - 4 = x/2 - 3/2

y = x/2 - 3/2 + 4

y = x/2 + 5/2