Question

Write the equation of the line that passes through the points (1,9) and (-1,1). Put

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

Answer 1

Point slope form

y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0

Explanation:

Step(i):-

Given that the points are (1,9) and (-1,1)

slope of the line

`m = (y_(2)-y_(1) )/(x_(2) - x_(1) )`

m =
`(1-9)/(-1-1)`

m = 4

step(ii):-

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

y-y₁ = m( x-x₁)

y - 9 = 4(x-1)

y -9 = 4x-4

4 x - y -4+9 =0

4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0