write the equation that is parallel to y=-3/2x-1 and that passes through the point. 4,6

Answer 1

(y-6)/(x-4) = -3/2

parallel lines have the same slope

the slope = the coefficient of the x term when the equation is solved for y. the slope also = the change in y coordinates divided by the corresponding change in x coordinates. Set them equal

y-6 = (-3/2)x + (-3/2)(-4)

y = -3x/2 + 12

Answer 2

Use the point-slope formula to create the equation of the line.

1) Formula: y - y1 =m(x - x1) (x1, y1) is point (4, 6) Substitute 4 for x1 and 6 for y1 in the formula.

2) Find the slope (m) that is parallel to the slope of the line: y = -3/2 x - 1.

In an equation in the form y = mx + b, m (the coefficient on x) is the slope of the line.

Parallel lines have the same slope, therefore use -3/2 for the slope in the formula.

3) y - 6 = -3/2(x - 4) Distribute -3/2 to each term.

y - 6 = -3/2 x + 6 Isolate the y by adding 6 to both sides.

y = -3/2 x + 12 is the equation of the line that is parallel to y = -3/2 x -1 and passes through point (4,6)