If a line passes through points 4 3 and 2 h and perpendicular to y equals 2x plus 3 then h equals?

Answer 1

The first thing to do is to find the equation of the line. A line, m, that is perpendicular to another line, k, always has a slope that is the opposite of the inverse of the slope of the second line, k. In this case, the line I've named k has a slope of 2. So the slope of the line we need, which I've named m, will be the opposite of the inverse, which is -1/2. To get the y- intercept, plug in the point you already have and solve.

y=mx+b

3=(-1/2)4+b

3=-2+b

5=b

So the y-intercept for m is 5, giving us the equation for m, which is y=(-1/2)x+5. Now just substitute the second point and solve.

h=(-1/2)2+5

h=-1+5

h=4

The point is (2,4), and so h is 4.