Answer:
a-2 / a - 1
Step-by-step explanation:
Answer: (B) y - 3 = 2(x - 1)
<u>Step-by-step explanation:</u>
The Point-Slope formula is: y - y₁ = m(x - x₁) where
- m is the slope
- (x₁, y₁) is any point on the line
It is given that the slope (m) is 2 and a point on the line (x₁, y₁) is (1, 3), so the equation is: y - 3 = 2(x - 1)
By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.
<h3>How to evaluate a quadratic equation with an absolute value</h3>
Herein we must apply the definition of <em>absolute</em> value prior to evaluating the quadratic equation defined in the statement. From algebra we know that absolute values are defined as:
|x| = x, when x ≥ 0 or - x, when x < 0. (1)
Then, we apply (1) on the quadratic equation:
F(|x|) = |x|² - 2 · |x| + 4
As x < 0, by <em>absolute value</em> properties:
F(|x|) = x² + 2 · x + 4
F(|- 4|) = (- 4)² + 2 · (- 4) + 4
F(|- 4|) = 16 - 8 + 4
F(|- 4|) = 12
By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.
To learn more on absolute values: brainly.com/question/1301718
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I think the answer would be A.150
Answer:
C. y = -2x + 3
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b.
m = slope, while b = y-intercept.
We already know that the slope, m, = -2.
We are given a point also as (0, 3). This means, at x = 0, y = 3.
Therefore, the y-intercept, b, = 3, because, the line would intercept the y-axis of the graph at y = 3, and at that point, x = 0.
Thus,
Slope (m) = -2,
y-intercept (b) = 3
Plug these values into y = mx + b
✅The equation of the line in slope-intercept form would be:
y = -2x + 3
