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The slope intercept form is 
Explanation:
The equation is 
Now, we shall bring the equation in the slope intercept form.
The general form of the slope intercept is given by
Hence, we need to rewrite the given equation in this form.
Thus, we have,
Subtracting both sides of the equation by 5x, we get,
Multiplying both sides of the equation by (-), we get,
Thus, the slope intercept form of the given equation is
Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a <u>vertical</u><em> </em>translation of the graph of f <u>12</u> units <u>downward</u>.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
Solve this equation: $45 - ($2.75/pen)x = $12. Simplifying, we get
$33 = ($2.75)x, so that
x = $33 / ($2.75) = 12.
Tim's buying 12 pens leaves him with $12.
Answer: y = -35x + 105
Step-by-step explanation:
The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).
The definition of slope is
m = (y2 - y1)/(x2 - x1)
= (0-105)/3-0
= -105/3
= -35
The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:
y = -35x + 105
