Question

Write the equation of the line that passes through the points (3,7) and (-1,2) in point-slope form and slope-intercept form. I am stuck on how to do this.

Answer 1

First, find the slope (m): m =
`(y2 - y1)/(x2 - x1)` =
`(7 - 2)/(3 - (-1))` =
`(5)/(4)`

Next, input ONE of the points (x₁, y₁) and the slope into the Point-Slope formula:

y - y₁ = m(x - x₁)

y - 7 =
`(5)/(4)`(x - 3)

Lastly, isolate "y" to find the Slope-Intercept formula: y = mx + b

y - 7 =
`(5)/(4)x` -
`(15)/(4)`

y =
`(5)/(4x)` +
`(13)/(4)`