6x − 2y = 10
−2y = −6x + 10
y = 3x − 5
Read the slope and the y-intercept from the equation.
slope = 3
y-intercept = (0, −5)
Parallel lines have the same slope.
Substitute the slope you found and the point given, (h, k) into the point-slope formula: y − k = m(x − h)
Simplify the equation and write in slope intercept form.
y = 3x − 3