A line has a slope of 1/4 and passes through point (0.4, -1/2)What is the value of the y-intercept?
0.6
-0.4
0.275
0.525

The y intercept is - .6

Step-by-step explanation:

We can use the slope intercept form of a line

y = mx+b

where m is the slope and b is the y intercept

y = 1/4x +b

Substitute the point into the equation

-1/2 = 1/4 (.4) +b

-1/2 = .1 +b

Subtract .1 from each side

-.5 - .1 = .1 + b - .1

-.6 =b

The y intercept is - .6

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