Which is an equation of the line that passes through (–1, –5) and (–3, –7)?
a)
y = 2x + 4
b)
y = x – 4
c)
y = –2x + 4
d)
y = –x – 4

For this case we have that by definition, an equation of the line of the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, then we find the slope:

Then, the equation is of the form:

We substitute a point and find b:

Finally we have:

y = x-4

Option B

Option b)

Step-by-step explanation:

The equation of a line in the intersecting slope form has the following form:

Where

m is the slope

 Where and  are two points that belong to the line

In this case the points are:  (–1, –5) and (–3, –7)

So:

Therefore

Finally the equation of the line is:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6