Question

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Determine the slope-intercept form of the equation of the line parallel to y = -4/3x + 11 that passes through the point -
6,2).

Answer 1

Rule: lines that are parallel have equal gradients.

Therefore y=-4/3x + b.

To find b, you must sub the point (6,2) into the equation y=-4/3x + b.

2= -4/3 x 6 + b
b=-10 (using algebra to solve)

Therefore y=-4/3x - 10.