Question

Please hurry

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

Answer 1

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!

Answer 2

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!