The line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9
Parallel Equations
The given equation is:
y = 4x + 5
Compare y = 4x + 5 with the equation y = mx + c
m = 4, c = 5
The equation parallel to y = 4x + 5 will also have a slope, m = 4
The point-slope form of the equation of a line is given as:
y - y₁ = m(x - x₁)
substitute m = 4, x₁ = -2 and y = 1 into the equation above
y - 1 = 4(x - (-2)
y - 1 = 4(x + 2)
y - 1 = 4x + 8
y = 4x + 8 + 1
y = 4x + 9
Therefore the line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9
Learn more on equation of a line here: https://brainly.com/question/13763238
