What is the Slope Intercept equation for the line that passes through the points (2,1) (-4,-2)?

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula:

Given points: (2, 1), (-4, -2)

(2, 1) = (x1, y1)

(-4, -2) = (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 formula used to find slope:

Simplify:

-2 - 1 = -3

-4 - 2 = -6

The slope is . We can input the slope and one of the given points (in this example I'll use point (2, 1)) into the equation to find b:

1 = 1 + b

0 = b

The y-intercept is 0. Now that we know the slope and the y-intercept, we can write the equation:

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4