Answer:
y = - 2x - 6
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 = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, - 2) and (x₂, y₂ ) = (1, - 8)
m = =
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, - 2), then
- 2 = 4 + c ⇒ c = - 2 - 4 = - 6
y = - 2x - 6 ← equation of line
Answer:
Step-by-step explanation:
The diagram shows the graph of the function g(x).
If g(x) = 7, then draw horizontal line y = 7. This line intersects the graph at some point, draw the vertical line which passes through this point. This line intersects the x-axis at point x = 6.
So, g(6) = 7.
If x = 6, then
To find g(2), draw vertical line x = 2. This line intersects the graph at some point, draw the horizontal line which passes through this point. This line intersects the y-axis at point y = 6. So,