Write a linear equation in standard form for the line that goes through (4,2) and (8,1).

D.

Step-by-step explanation:

The given equation passes through:

(4,2) and (8,1).

The equation can be obtained using the formula;

The slope is given by:

Let and  , then we have;

we now plug in the slope and the point to obtain;

We multiply through by 4 to obtain;

Expand using the distributive property;

Option D.

Step-by-step explanation:

The Standard form of the equation of then line is:

Where A, B and C are integers.

The Point-slope form of the equationof the line is:

Where m is the slope of the line and () is a point of the line.

Given the points (4,2) and (8,1), you can find the slope with the formula . Then:

Substitute the slope and the point (4,2 ) into :

To write in Standard form, move the variables to one sides of the equation. Then:

ok

step-by-step explanation:

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