Question
Choose the FALSE about the line y = 3x + 7
- The slope is
- The x - intercept is 3
- The y - intercept is 7
- The line goes up from left to right
Hint:
We justify each of the options and try to find out the wrong statement about the graph of the given equation.
The correct answer is: The x - intercept is 3
Step 1 of 4:
First, we look at the graph of the given equation, y = 3x + 7
Option "a. The line goes up from left to right" is right.
Step 2 of 4:
Option "b. The slope is " is right, since here m = 3.
Step 3 of 4:
Option "c. The y-intercept is 7" is right since if x = 0, then y = 7.
Step 4 of 4:
But, the x-intercept is not 3
If y = 0 then, x = 
So, the x-intercept is 3 is false.
Final Answer:
The right choice is- d. The x-intercept is 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.
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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.
