Answer:
x- intercept = 9
Step-by-step explanation:
Find the equation of the line in slope- intercept form
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 ) = (- 6, 10) and (x₂, y₂ ) = (12, - 2)
m = = <em> = - </em>
<em>y = - x + c ← is the partial equation of the line</em>
<em>To find c substitute either of the 2 points into the partial equation</em>
<em>Using (12, - 2), then</em>
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = - x + 6 ← equation of line
To find the x- intercept let y = 0, that is
- x + 6 = 0
Multiply through by 3
- 2x + 18 = 0 ( subtract 18 from both sides )
- 2x = - 18 ( divide both sides by - 2 )
x = 9 ← y- intercept