Question

What is the equation of a line that is parallel to 4x+3y=12 and passes through the point (3, 4)?

Answer 1

Lines parallel to 4x + 3y = 12 have the same coefficients, so the slope is -4/3. Using point-slope with (3,4):

y - 4 = (-4/3)(x - 3)

Simplify to slope-intercept: y = (-4/3)x + 8

Or standard form: 4x + 3y = 24.