Question

If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L .

y = -x + 3
y = -3x + 3
y = 3x + 3

Answer 1

y = 3x + 3

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 ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)

m =
`(3-0)/(0+1)` = 3

We are given the y- intercept, that is c = 3

y = 3x + 3 ← equation of line