## find the equation of the straight line passing through the point (0,2) which is perpendicular to line y=1/4x+5

Question

find the equation of the straight line passing through the point (0,2) which is perpendicular to line y=1/4x+5

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6 months 2021-07-29T20:22:23+00:00 1 Answers 0 views 0

y = -4x + 2

Step-by-step explanation:

Given the following data;

Points (x1, y1) = (0, 2)

Perpendicular line = y = ¼x + 5

To find the equation of the straight line passing;

Mathematically, the equation of a straight line is given by the formula: y = mx + c

Where;

• m is the slope.
• x and y are the points
• c is the intercept.

From the question, we can deduce that the slope (m) of the perpendicular line is ¼.

y = ¼x + 5 = mx + c

Since the points are perpendicular to the equation of line, it must have a slope that is its negative reciprocal because the slopes of perpendicular lines are negative reciprocals of each other.

Therefore, ¼ = -4

Next, we would write the equation of the straight line using the following formula;

y – y1 = m(x – x1)

Substituting into the formula, we have;

y – 2 = -4(x – 0)

y – 2 = -4x – 0

y – 2 = -4x

y = -4x + 2