Answer:
distance from the point to the line is, d = 1.34
Explanation:
equation of the line is, y = -2x
2x + y = 0
point given is, (-1, 6)
distance from the point to the line is given as,
d = |Ax1 + By1 + C| / √A² + B²
standard form of equation of line is:
Ax + By + C = 0
where, A = 2, B = 1, C = 0
and the point is, x1, y1 = -1, 6
by substituting the values in the formula,
d = |2(-1) + 1(-1) + 0| / √2² + 1²
= |-2 - 1 + 0| / √4 + 1
= |-3| / √5
= 3/2.24
thus, d = 1.34