Question

What would the slope intercept equation of the line shown below​

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) ← 2 points on the line

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

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = - 2x - 4 ← equation of line

Answer 2

y = -2x - 4.

Explanation:

The points marked are (-2,0) and (0,-4).

The slope of line = (-4-0) / (0- -2)

= -4/2 = -2.

The y-intercept is at y = -4,

so the equation required is y = -2x - 4.