Question

Find the equation of the line passing through the points (6,7) and (9,1)

Answer 1

Answer: y = -2x + 19

Explanation:

The function formula would be: y = ax + b

The slope(a) can be found with the formula
`(y_(2)-y_(1))/(x_(2)-x_(1))`:

`(x_(1), y_(1))=(6,7)\\(x_(2), y_(2))=(9,1)`

`(1-7)/(9-6) =(-6)/(3) =-2`

The y-intercept(b) can be found by substituting in values of a coordinate:

`(6,7)\\y=-2x+b\\7=-2(6)+b\\7=-12+b\\7+12=b\\b=19`

Therefore, the function is y = -2x + 19