Question
Identify the y - intercept of the following:
27x - 9y = 27
- y-intercept = -3
- y-intercept = 3
- y-intercept = 1
- y-intercept = 27
Hint:
The y-intercept is the point where the line crosses the y-axis. At this point x = 0.
The correct answer is: y-intercept = -3
Step 1 of 1:
To find the y-intercept, set x = 0 and solve for y.
Given equation, 27x - 9y = 27
→ -9y = 27
→ y= -3
y-intercept (0,-3)
Final Answer:
The right choice is- d. y-intercept = -3
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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.
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.
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.