Question

The equation of line GH is y=4x-3. Write an equation of a line perpendicular to line GH in slope-intercept form that contains point (2,3)

Answer 1

As we know the formula to calculate the line of equation is y - y1 = m (x - x1)

Where m is the slope. y1 is the first y co ordinate. x1 is the first x co ordinate.

Now we do know that the slope of perpendicular line is the negative reciprocal of the slope of the original line.

So perpendiculars line slope is 4 so slope for our line is -1/4. Hence equation is y - 3 = -1/4 (x - 2) which becomes 4y -12 = -x + 2 and 4y = -x + 14.