Determine which of the following graphs represent the equation below. Also determine the y-intercept of the graph.
1 answer:
Answer:
Option (a)
Step-by-step explanation:
The given equation is
y = 4 (2ˣ)
To find y-intercept, substitute x=0 in the equation.
y = 4 (2⁰) = 4 (1) =4
Hence y-intercept is 4.
Since y-intercept is 4, the equation should pass through the point (0,4).
The only graph passing through the point (0,4) is the graph in option (a).
Hence the answer is option (a).
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Answer:
y = - 2x + 1
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 =
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = =
= - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (3, - 5 ) , then
- 5 = - 6 + c ⇒ c = - 5 + 6 = 1
y = - 2x + 1 ← equation of line