Answer: (y + 3) = -1/3 (x - 2)
Step-by-step explanation:
Point-slope form has the form of
y - y1 = m (x - x1)
Where
y1 is the y-value of a point on the line
x1 is the x-value of a point on the line
m is the slope of the line
The problem already gives a point on the line, (2, -3)
(y + 3) = m (x - 2)
Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )
The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is
3x - y = 4
When rearranged to slope-intercept form, we get
y = 3x - 4
Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.
Answer:
It's y=3x
Step-by-step explanation:
The y-intercept is 0, it's direct variation. The slope(rise/run) is 3.
The absolute value is how far away a number is from the number line, so it is always positive. If Carlos finds the opposite of the absolute value, that means he found the negative version. So Jason's final value will be greater.
The extreme value of y = (x - h)² - c is the vertex of the equation.
<h3>What are extreme values of a function?</h3>
The extreme values of a function are either the maximum or minimum values of the function.
<h3>The equation of a parabola in vertex form</h3>
The equation of a parabola in vertex form with vertex (h', k) is given by
y = a(x - h')² + k and its extreme values are
- if a > 0 (h', k) is a minimum point and
- if a < 0 (h', k) is a maximum point.
Since y = (x - h)² - c is the equation of a parabola in vertex form, comparing with y = a(x - h')² + k,
So, the cooordinates of the vertex of y = (x - h)² - c is (h, -c).
Now, since a = 1 > 0, (h, -c) is a minimum point.
So, the extreme value of y = (x - h)² - c is the vertex of the equation.
Learn more about extreme value of a function here:
brainly.com/question/13464558
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