Question

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

Answer 1

Answer:

y = - 2x - 4

Step-by-step 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 = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 4) ← 2 points on the line

m = $\frac{-4-0}{0+2}$ = $\frac{-4}{2}$ = - 2

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

y = - 2x - 4 ← equation of line

Answer 2

Answer:

y = -2x - 4.

Step-by-step 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.