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

What is the Slope Intercept equation for the line

Demarco17

10.02.2022

$y=\frac{1}{2}x$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

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:

$\frac{-2-1}{-4-2}$

Simplify:

-2 - 1 = -3

-4 - 2 = -6

$\frac{-3}{-6} =\frac{1}{2}$

The slope is $\frac{1}{2}$ . 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:

$1= \frac{1}{2}(2)+b$

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:

$y = \frac{1}{2}x+0$

$y=\frac{1}{2}x$

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MIYAISSAVGE2409

24.02.2022

Answer

b. sub-rectangle C

c. sub-rectangle A

a. sub-rectangle B

d. sub-rectangle D

Step-by-step explanation:

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