Practice and Homework Lesson 3.7 Answers

The practice and homework lesson 3.7 answers are essential for students attempting to complete their math coursework. Knowing the answers to this lesson’s questions can help students understand the fundamentals of mathematics better and can help them prepare for exams. It is important for students to understand the proper answer for each question to get the most out of their math course. In this article, we will provide the answers to practice and homework lesson 3.7.

Question 1: What is the value of X in the equation x² + 2x + 7 = 0?

The answer to this question is -1 and 3. This can be worked out by factoring the equation and setting each factor equal to zero. The equation x² + 2x + 7 = 0 can be factored into (x + 1) (x + 7) = 0. When each factor is set equal to zero, you get x + 1 = 0 and x + 7 = 0. Solving each equation will give you the answers -1 and 3.

Question 2: What is the slope of the line y = 8x + 4?

The answer to this question is 8. The slope of a line is calculated by taking the coefficient of the x term (in this case, 8) and dividing it by the constant (in this case, 4). In this equation, the coefficient of the x term is 8 and the constant is 4. So, when you divide 8 by 4, you get 8 as the answer.

Question 3: What is the equation of the line that passes through (2, 4) and (5, -2)?

The answer to this question is y = -2x + 10. To find the equation of a line passing through two points, you need to use the slope-intercept form. First, you need to calculate the slope of the line using the two points. In this case, the slope is -2. Then, you need to find the y-intercept by substituting one of the points into the equation and solving for the y-intercept. In this case, the y-intercept is 10. So, the equation of the line passing through (2, 4) and (5, -2) is y = -2x + 10.

Question 4: What is the value of x in the equation 2x + 6 = 10?

The answer to this question is 2. This can be worked out by subtracting 6 from both sides of the equation to get 2x = 4. Then, you can divide both sides of the equation by 2 to get x = 2 as the answer.

Question 5: What is the equation of the line that passes through (-3, -7) and (4, 1)?

The answer to this question is y = 4x -11. To find the equation of a line passing through two points, you need to use the slope-intercept form. First, you need to calculate the slope of the line using the two points. In this case, the slope is 4. Then, you need to find the y-intercept by substituting one of the points into the equation and solving for the y-intercept. In this case, the y-intercept is -11. So, the equation of the line passing through (-3, -7) and (4, 1) is y = 4x -11.

In conclusion, practice and homework lesson 3.7 answers are essential for students attempting to complete their math coursework. Knowing the answers to this lesson’s questions can help students understand the fundamentals of mathematics better and can help them prepare for exams. The answers to the questions provided in this article will help students understand the concepts of math better and help them get the most out of their math courses.