audreyburkett12
contestada

1. Write an equation in point ­slope form for the line through the given point with the given slope. (–4, –2); m = -1/2

A. y + 2 = -1/2(x – 4)
B. y + 2 = (-1/2 ) x – 4
C. y + 2 = -1/2(x + 4)
D. y – 2 = -1/2(x – 4)

Respuesta :

I hope this helps you
Ver imagen Аноним

Answer:

C. y + 2 = -1/2(x + 4)

[tex] y = -\frac{1}{2}x -2 -2 = \frac{1}{2}x -4[/tex] Correct

Step-by-step explanation:

For this case we have a point given [tex] P=(-4,-2)[/tex] and the slope for a line [tex] m = -\frac{1}{2}[/tex]

The general linear model is given by:

[tex] y= mx + b[/tex]

For this case we have m given and we just need to find b, if we replace the info given we have this:

[tex] -2 = -\frac{1}{2} (-4) +b[/tex]

And if we solve for b we got:

[tex] b = -2-2 = -4[/tex]

So then our linear model is given by:

[tex] y = -\frac{1}{2}x -4[/tex]

We analyze one by one the options:

A. y + 2 = -1/2(x – 4)

[tex] y = -\frac{1}{2} x +2 -2= \frac{1}{2}x[/tex] Incorrect

B. y + 2 = (-1/2 ) x – 4

[tex] y = -\frac{1}{2}x -6[/tex] Incorrect

C. y + 2 = -1/2(x + 4)

[tex] y = -\frac{1}{2}x -2 -2 = \frac{1}{2}x -4[/tex] Correct

D. y – 2 = -1/2(x – 4)

[tex] y = -\frac{1}{2}x +2+2 = -\frac{1}{2}x +4[/tex] Incorrect

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE

Otras preguntas