4. f(x) =-2x+7 Find Range
1 answer:
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Answer:
D
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 ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = =
=
= - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
Answer:
A. y - 3 = -(x + 5)
Step-by-step explanation:
The general formula for point-slope form is:
, where 'm' is the slope and
is a point on the line
Using the given graph, you can see that the line is downhill, indicating a negative slope. Starting at the y-intercept of -2 and going down two and over two to the point (2, -4) tells us the overall slope is '-1'. You can also see that there is a point at (-5, 3) on the graph. Using the slope (-1) and the point (-5, 3):
y - 3 = -1(x + 5)