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Which equation represents a line that has a slope of -1/2 and passes through point (4, -5)?

O y= -1/2x + 3/2
O y= -1/2x + 13/2
O y = - 1/2x - 7
O y= 1/2x -3

User Jeyko
by
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2 Answers

4 votes

Answer:

D.
y = -1/2x - 3

Explanation:

To solve this we must use the Point-Slope formula:


y-y1=m(x-x1)

Substitute:


y+5=-1/2(x-4)

Distribute:


y+5= -1/2x + 2

Subtract 5 from both sides:


y = -1/2x - 3

Hope this helped!

User Viorior
by
7.8k points
3 votes

Answer:

D

Explanation:

Since we are given the slope, find the y-intercept using the formula for slope intercept form [ y = mx + b ].

y = -1/2x + b

-5 = -1/2(4) + b

-5 = -2 + b

-3 = b

Put everything we know into final form.

y = -1/2x - 3

Best of Luck!

User Dominic Green
by
8.1k points

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