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 = }((y2-y1))/((x2-x1))=((-1-7))/((9-(-3)))=((-8))/((12))=-(2)/(3)`

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

`7=-(2)/(3)(-3)\text{ + b}`
`7=(6)/(3)+b`

Simplifying:

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

Clearing b:

`7-2=5=b`

Finally, the equation will be:

`y=-(3)/(2)x+5`