The length between the point and the line is 2√5
To find the length between the point and a line we use the formula
Ax + By + C / √A² + B²
From the equation of line
2y = 4x - 4
Puting the equation in the form Ax + By + C = 0
2y - 4x + 4 = 0
therefore;
A = -4
B = 2
C = 4
From the point (-2,4)
x = -2 and y = 4
Therefore distance = -4 × -2) + (2 × 4) + 4/√ -2²+4²
= 8 + 8 + 4/√20
= 20/√20
= 20√20/20
= √20
= 2√5
Therefore, the length between the point and the line is 2√5.