Question
Write the equation of the line in standard form
- Y = x - 2
- - x - y = -2
- -2x + 3y = -6
- 2x - 3y = 6
Hint:
The standard form for a straight line: Ax + By = C. We have to express the equation like the above form.
The correct answer is: 2x - 3y = 6
Step 1 of 1:
Note that the points are (3,0) and (-3,-4).
Among the equations provided in the options, consider the equation 2x - 3y = 6
Putting x = 3, we get y = 0
Again, putting x = -3, we get y = -4
So, both points satisfy the equation.
Besides, it is in the standard form: Ax + By = C
So, the equation is 2x - 3y = 6.
Final Answer:
The right choice is- a. 2x - 3y = 6
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For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
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The answer to this question was C = 5h + 3. The y-intercept is where h=0. It has the value c=3 and represents the fixed cost. The slope is 3, representing the rate at which C is increasing. If she babysits for 5 hours, she makes
C = 5*5 + 3
C = 25 + 3
C = 28
Therefore using the equation C = 5h + 3, we get the answer is $28.
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.
The equality between two mathematical expressions involving one or more variables is called an equation. For example, a linear equation is one in which the variable's highest power is one. For example, an algebraic equation of the form ax + b = 0 or ax + by + c = 0. where x and y are the two highest-power variables and a, b, and c are real numbers.
The answer to this question was C = 5h + 3. The y-intercept is where h=0. It has the value c=3 and represents the fixed cost. The slope is 3, representing the rate at which C is increasing. If she babysits for 5 hours, she makes
C = 5*5 + 3
C = 25 + 3
C = 28
Therefore using the equation C = 5h + 3, we get the answer is $28.