Question

Line A has a y-intercept of 3 and is perpendicular to the line given by

y = 5x + 2.
What is the equation of line A?
Give your answer in the form y = mx + c, where m and c are integers or
fractions in their simplest forms.

Answer 1

Explanation:

The given line is y = 5x + 2. We know that any line perpendicular to this line will have a slope that is negative reciprocal of 5. The negative reciprocal of 5 is -1/5.

Line A is perpendicular to y = 5x + 2, so it has a slope of -1/5. We also know that the y-intercept of line A is 3. Therefore, the equation of line A can be written as:

y = (-1/5)x + 3

or in the form y = mx + c, where m = -1/5 and c = 3.