“Draw the graph of the line with equation y=3/4x-2”
1 answer:
Step-by-step explanation:
You have multiple ways, all revolving around finding 2 points.
The easiest point to use is the y intercept (the value of y when x=0), and is the constant term, giving you
The second point can be found in a number of ways:
- Look for the x intercept (when y=0), and you will get some point by solving for x;
- put any value of x you haven't used so far (ie, 0), compute it, and you will find a second point.
- plug a "smarter" value of x that will make computation easy: in this case you have a fraction, so I would pick the denominator to simplify: (you got
, so
giving a second point
)
- since the equation is in <em>slope-intercept </em>form, Just remember the slope tells you how many vertical units you move (numerator) when you move right the number of units in the denominator, with the sign telling you up or down: in our case you move 3 up (since it's positive) every 4 "steps" right.
In any case, the graph will look something like the one in the image
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Use the formula for quadratic trinomial. Then you can form from a quadratic trinomial perfect square:
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From the last given step you have that
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Since 5·16=80, you can substitute the previous expression for perfect square into function expression and get:
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This means, when x=-4, f(-4)=-80 and vertex has coordinates (-4,-80).
Answer: correct choice is C.