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Help me please i need help

Help me please i need help-example-1

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Answer:

A. y = 2x -9

B. y = -1/2x +1

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

Help me please i need help-example-1
User Mahesh Shitole
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