Which of the following is the equation of a line that passes through (-2,1) and (-4,-3)?

The equation is y= 2x+5

Step-by-step explanation:

Lets find the slope of the line through the points (-2,1) and (-4,-3).

where x1 = -2,  y1= 1,  x2= -4,  y2 = -3.

Now apply slope formula:

m= y2-y1/ x2-x1

m= -3-1/-4-(-2)

m = -4/-4+2

m= -4/-2

Divide the term by 2:

m = 2

Now we will apply point slope formula:

y-y1 = m (x-x1)

Now substitute the values in the formula:

y-1=2(x-(-2))

y-1 =2(x+2)

y-1=2x+4

Now combine the constants:

y= 2x+4+1

y=2x+5

So the equation is y= 2x+5

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

the radius is 2 times the diameter.

step-by-step explanation: