Answer:
Step-by-step explanation:
So let's find the equation of the line for f(x). We know the y-intercept, also known as b in the equation of the line for f(x), is 3. (b = y-intercept = 3)
y = mx + <u>b</u>
y = mx + <u>3</u>
Now, to find the slope you must use the formula of...
(y₂ - y₁) / (x₂ - x₁)
We have two points of the line already shown. We will now use the formula to find out the slope.
(3 - 1) / (0 - 1) = 2 / -1 = -2, the slope is -2. (m = slope = -2)
y = <u>m</u>x + 3
y = <u>-2</u>x + 3
Now check the following statements and see which ones are true.
A is <em>not </em>a true statement.
B is <em>not </em>a true statement because a slope of -6 is steeper than -2. The negative slope only changes the direction of the line.
C is <em>not </em>a true statement because the slope of f(x) is not undefined.
D <u>is</u> a true statement because the line of f(x) is less steep than the slope of g(x).
KEEP IN MIND THE SLOPE IS M IN THE EQUATION OF A LINE.
