What is the equation of the line that passes through the points (0,-2) and (-4,4)

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula:

Given points: (0, -2), (-4, 4)

(0, -2) = (x1, y1)

(-4, 4) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:

4 - (-2) = 4 + 2 = 6

-4 - 0 = -4

The slope is .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (0, -2)) into the equation and solve for b:

-2 = 0 + b

-2 = b

The y-intercept is -2.

Now that we know the slope and the y-intercept, we can write the equation:

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: