Question

Write the equation of a line, in slope-intercept form, that has an y-intercept of 4 and an

x-intercept of -2.

Answer 1

y = 2x + 4

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

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 4) ← coordinates of intercepts

m =
`(4-0)/(0+2)` =
`(4)/(2)` = 2 and c = 4

y = 2x + 4 ← equation of line