Question

22. Write the equation in Slope-Intercept form of the line with an x-intercept of 2

and a y-intercept of -1.

Answer 1

y =
`(1)/(2)` x - 1

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, - 1) ← coordinates of intercepts

m =
`(-1-0)/(0=2)` =
`(-1)/(-2)` =
`(1)/(2)`

The y- intercept is - 1 ⇒ c = - 1

y =
`(1)/(2)` x - 1