1.
What is the slope of y= -2x + 5 ?
Correct Answer
-2
Explanation
The slope of a linear equation is the coefficient of the x-term. In the given equation, y = -2x + 5, the coefficient of the x-term is -2. Therefore, the slope of the equation is -2.
2.
What is the y-intercept of y= 7- 2x ?
Correct Answer
7
(0,7)
Explanation
The y-intercept of a linear equation represents the point where the line crosses the y-axis. In the equation y = 7 - 2x, the y-intercept is the value of y when x is 0. Substituting x = 0 into the equation, we get y = 7 - 2(0) = 7. Therefore, the y-intercept is 7. The point (0,7) represents the coordinates of this y-intercept on the graph.
3.
What variable represents slope?
Correct Answer
m
Explanation
The variable "m" represents slope in mathematics. Slope is a measure of the steepness of a line and is often denoted by the letter "m". It represents the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line. By using the variable "m", it becomes easier to calculate and understand the slope of a line in various mathematical equations and applications.
4.
Write an equation of the line with the given slope and y-intercept
slope: 1.6, y-intercept: 4
Correct Answer
A. Y = 1.6x + 4
Explanation
The given equation is in the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1.6 and the y-intercept is 4. Therefore, the equation of the line is y = 1.6x + 4.
5.
Write an equation of the line that passes through each point with the given slope.
(0, 9) m = 5
Correct Answer
B. Y = 5x + 9
Explanation
The equation of a line can be written in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the given slope is 5. Since the line passes through the point (0, 9), we can substitute the values of x and y into the equation to find the y-intercept. Plugging in x = 0 and y = 9, we get 9 = 5(0) + b. Simplifying, we find that b = 9. Therefore, the equation of the line is y = 5x + 9.
6.
Identify the slope of the line. y = 3x - 5
Correct Answer
3
Explanation
The slope of a line is the coefficient of the x term in the equation of the line. In this equation, y = 3x - 5, the coefficient of the x term is 3. Therefore, the slope of the line is 3.
7.
Identify the y-intercept of the equation. y = 2/9 x?
Correct Answer
0
Explanation
The y-intercept of an equation is the value of y when x is equal to 0. In this equation, y = (2/9)x, when x is equal to 0, y will also be equal to 0. Therefore, the y-intercept of the equation y = (2/9)x is 0.
8.
What is the formula for the Slope-intercept form of an equation?
Correct Answer
D. Y = mx + b
Explanation
The formula for the slope-intercept form of an equation is y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept, which is the point where the line crosses the y-axis. This formula allows us to easily identify the slope and y-intercept of a line, making it convenient for graphing and analyzing linear equations.
9.
What is the slope of this line?y = 3x + 4
Correct Answer
A. 3
Explanation
The slope of a line is the coefficient of the x term in the equation of the line. In this case, the equation y = 3x + 4 has a coefficient of 3 for the x term, indicating that the slope of the line is 3.
10.
What is the y-intercept of this line?y = 3x + 4
Correct Answer
C. 4
Explanation
The y-intercept of a line is the value of y when x is equal to 0. In the given equation, y = 3x + 4, when x is 0, the equation becomes y = 3(0) + 4, which simplifies to y = 4. Therefore, the y-intercept of this line is 4.
11.
What is the slope of this line?y = -5x + 2
Correct Answer
B. -5
Explanation
The slope of a line is determined by the coefficient of the x-term in the equation. In this case, the equation is y = -5x + 2, so the slope is -5. This means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 5.
12.
What is the y-intercept of this line?y = -5x + 2
Correct Answer
C. 2
Explanation
The y-intercept of a line represents the point where the line intersects the y-axis. In the given equation, y = -5x + 2, the constant term 2 represents the y-intercept. This means that the line intersects the y-axis at the point (0, 2).
13.
What is the slope of this line?
y = 1/2x - 6
Correct Answer
A. 1/2
Explanation
The slope of a line is the coefficient of x in the equation of the line. In this case, the equation of the line is y = 1/2x - 6. The coefficient of x is 1/2, so the slope of the line is 1/2.
14.
What is the y-intercept of this line?y = 1/2x - 6?
Correct Answer
D. -6
Explanation
The y-intercept of a line is the point where the line intersects the y-axis. In the equation y = 1/2x - 6, the y-intercept can be found by setting x = 0 and solving for y. When x = 0, the equation becomes y = -6. Therefore, the y-intercept of this line is -6.
15.
The slope of the following line will be:y = -6x + 12
Correct Answer
B. Negative
Explanation
The slope of a line is determined by the coefficient of the x-term in the equation of the line. In this case, the coefficient of the x-term is -6, which means that for every increase of 1 in the x-coordinate, the y-coordinate will decrease by 6. This indicates a negative slope, as the line is descending from left to right.
16.
Write an equation of the line with the given slope and y-intercept
Correct Answer
D.