Write the slope-intercept form of the equation of the line described

Question

Through: (-5,1), parallel to y=-2/5x+2

Answer 1

Parallel lines have equal slopes, so

y = (-2/5)x + b

Find b from the given point.

1 = (-2/5)(-5) + b

1 = 2 + b

b = -1

y = (-2/5)x - 1