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8-47.
  1. Change 6x − 2y = 10 to slope-intercept (y = mx + b) form. Homework Help ✎

    1. State the slope (m) and the y-intercept (b).

    2. 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: yk = m(xh)

Simplify the equation and write in slope intercept form.

y = 3x − 3