Change 6x − 2y = 10 to slope-intercept (y = mx + b) form. Homework Help ✎
State the slope (m) and the y-intercept (b).
Use the point-slope formula to find an equation of the line parallel to 6x − 2y = 10 through the point (3, 6).
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