Question

Write the point slope of the equation of the line described show work.

through: (3,-2), parallel to y= -3/2x - 1

Answer 1

y= -3/2x + 5/2

Explanation:

Given:

• Line y= -3/2x - 1 and point (3, -2)

To find:

• Equation for the line parallel to the given that passes through the given point.

Solution

The given line has a slope of -3/2

The parallel line will have the same slope

The point-slope form:

• y - y1 = m(x -x1)

We have m = -3/2, y1= -2, x1 = 3, plug in:

• y - (-2) = -3/2(x - 3)
• y + 2 = -3/2(x - 3)
• y = -3/2x + 9/2 - 2
• y = -3/2x + 5/2

or

• y = -1.5x + 2.5