Question

Help me please i need help

Answer 1

Answer:

  A.  y = 2x -9

  B.  y = -1/2x +1

Step-by-step explanation:

The given line is in slope-intercept form

  y = mx + b

where m is the slope. For your given line, the slope is 2.

A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:

  y = m(x -h) +k . . . . . for slope m through point (h, k)

You want the equation of the line through (4, -1) with slope 2, so its equation is ...

  y = 2(x -4) -1

Simplifying to slope-intercept form, this becomes ...

  y = 2x -8 -1

  y = 2x -9

___

B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...

  m = -1/2

As above, the point-slope form of the perpendicular line is ...

  y = -1/2(x -4) -1

  y = -1/2x +1 . . . . . after simplification