Question

Write the point-slope form of the line that passes through (5, 5) and is perpendicular to a line with a slope of 1/4. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answer 1

Ur given a slope of 1/4. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will need a slope of -4. (see how I flipped 1/4 and made it 4/1 or just 4, and then changed the sign making it -4)

y - y1 = m(x - x1)
slope(m) = -4
(5,5)...x1 = 5 and y1 = 5
now we sub
y - 5 = -4(x - 5) <== ur perpendicular equation in point-slope form