Question

which equation represents the line that passes through the points -3 7 and 9 -1

Answer 1

EXPLANATION

Given ordered pairs: (-3,7) and (9,-1)

(x1,y1) (x2,y2)

The equation that represents the line that passes through the points will be given as:

y = mx + b

First, we need to calculate the slope:

$\text{Slope = }\frac{(y2-y1)}{(x2-x1)}=\frac{(-1-7)}{(9-(-3))}=\frac{(-8)}{(12)}=-\frac{2}{3}$

Now, taking either one pair, we can calculate the value of b in this way:

$7=-\frac{2}{3}(-3)\text{ + b}$$7=\frac{6}{3}+b$

Simplifying:

$7\text{ = }2\text{ + b}$

Clearing b:

$7-2=5=b$

Finally, the equation will be:

$y=-\frac{3}{2}x+5$