Question
Find the slope and y-intercept of the following:
3x - y = 9
- Slope = 3, y-intercept = -9
- Slope = 9, y-intercept = 3
- Slope = 3, y-intercept = 9
- Slope = -1, y-intercept = 3
Hint:
The general equation for a straight line: y=mx+b
The slope is m
The 
-coordinate of the -intercept is b. In other words, the line's -intercept is at .
The correct answer is: Slope = 3, y-intercept = -9
Step 1 of 1:
Given equation, 3x - y = 9
→ y = 3x + (-9)
From the equation: Slope = 3
To find the y-intercept, set x = 0 and solve for y.
3x - y = 9
→ 0 – y = 9
→ y = -9
y-intercept = -9
Final Answer:
The right choice is- d. Slope = 3, y-intercept = -9
Related Questions to study
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.
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