Question

Write the equation of the line that passes through the points (4,7) and (8,6). Put

your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

y=-1/4x+8

First find the slope

Slope= y-y1/x-x1

So (6-7)/(8-4) = -1/4

Now take that slope and use one of the points and plug them into the point slope formula to solve for your y intercept.

Point slope formula: y=mx+b

So 7=-1/4(4)+b OR 6=-1/4(8)+b

Either way you’ll get b=8!

Put em together and you get: y=-1/4x+8

Ps you can double check your answer by plugging in one or both of the points into your equation to see if it works :)

Answer 2

y - 7 =
`-(1)/(4)` (x - 4)

Explanation:

Find Slope: m =
`(y_(2-)y_(1) )/(x_(2-)x_(1) )`

m =
`(6-(7))/(8-(4))`

m =
`(-1)/(4)`

Point Slope Form: y -
`y_(1)` = m ( x -
`x_(1)` )

y - 7 =
`-(1)/(4)` (x - 4)