Question

Equation for (5,-4) (-3,2)

Answer 1

Answer:

$y = -\frac{3}{4}x-\frac{1}{4}$

Step-by-step explanation:

The equation for a linear function found from two given points is:  y = mx + b, where m = slope and b = y-intercept.  You can find slope from slope formula:

$\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}$

Given points (5, -4) and (-3, 2):

$\frac{(2-(-4))}{(-3-5)}=\frac{6}{-8}=-\frac{3}{4}$

Using the value m = $-\frac{3}{4}$ and the point (5, -4) for x and y:

y = mx + b

-4 = 5(-3/4) + b

-4 = -15/4 + b

-4 = -3.75 + b

-1/4 = b

$y = -\frac{3}{4}x-\frac{1}{4}$