Use the points (1998,13.60) and (2003,19.00) to write the slope-intercept form of an equation. (Enter your answers as decimals.)

Question

Use the points (1998,13.60) and (2003,19.00) to write the slope-intercept form of an equation. (Enter your answers as decimals.)

Answer 1

Slope = change in y / change in x = (y₂ - y₁)/(x₂ - x₁)

It doesn't matter which point is first, and which is second, as long as you are consistent.

If (x₁, y₁) = (1998, 13.60) and (x₂, y₂) = (2003, 19.00), then

slope = (19.00 - 13.60)/(2003 - 1998) = 1.08

Using point-slope form y - y₁ = m(x - x₁), we can plug in the slope and a point to find the equation of our line.

(Either point will work to find the equation)

y - 13.6 = 1.08(x - 1998)

Simplifying:

1. y - 13.6 = 1.08x - 2157.84
2. y = 1.08x - 2144.24

Slope-intercept form: y = 1.08x - 2144.24