Answer:
y = -4x + 2
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