1.
What is the slope in the following equation?y = 4x - 4put your answer as one number
Explanation
The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). In the given equation, y = 4x - 4, the coefficient of x is 4, which indicates that for every increase of 1 in x, y increases by 4. Therefore, the slope of this equation is 4.
2.
What is the y-interecept of the following equation? y = 3x - 2put your answer as just a number
Explanation
The y-intercept of an equation represents the point where the line intersects the y-axis. In the given equation, y = 3x - 2, the y-intercept is represented by the constant term, which is -2. Therefore, the y-intercept of the equation is -2.
3.
How would you graph the following equation?y = -1/2x + 3
Correct Answer
B. Plot (0, 3); then plot points by going down 1 and right 2, or the opposite, up 1 and left 2
Explanation
The correct answer suggests plotting the point (0, 3) as the y-intercept, and then moving down 1 and right 2 (or up 1 and left 2) to plot additional points on the graph. This is because the equation y = -1/2x + 3 is in slope-intercept form, where the coefficient of x (-1/2) represents the slope of the line. Moving down 1 and right 2 (or up 1 and left 2) allows us to find other points on the line based on the given slope.
4.
What is the slope and y intercept of the following equaiton? y = -5x + 4write your first number, then a comma, and your second number
Correct Answer
-5, 4
-5,4
Explanation
The slope of the equation y = -5x + 4 is -5, which represents the rate at which the line is decreasing or increasing. The y-intercept is 4, which is the point where the line crosses the y-axis.
5.
What is the slope and y intercept of the following line?
Correct Answer
B. M = 1 and y-intercept is (0, 3)
Explanation
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the given equation is y = 1x + 3, which simplifies to y = x + 3. Therefore, the slope is 1 and the y-intercept is (0, 3).
6.
Write a linear equation for a line that has a slope of 5 and a y-intercept of -4(your answer should look something like this: y = 2x + 3
Correct Answer
y = 5x - 4
y= 5x - 4
y =5x - 4
y = 5x-4
Explanation
The correct answer is y = 5x - 4. This equation represents a line with a slope of 5 and a y-intercept of -4. The slope of 5 means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 5. The y-intercept of -4 means that the line intersects the y-axis at the point (0, -4).
7.
What is the linear equation in slope intercept form (y = mx + b; where m is the slope and b is the y intercept)
Correct Answer
y = -7x - 4
y= -7x-4
y =-7x - 4
y=-7x-4
y= -7x-4
Explanation
The given correct answer for this question is y = -7x - 4. This equation is in slope-intercept form, y = mx + b, where m is the slope (-7 in this case) and b is the y-intercept (-4 in this case).
8.
What is the linear equation of this line?
Correct Answer
B. Y = 1/8x + 1
Explanation
The correct answer is y = 1/8x + 1. This equation represents a line with a slope of 1/8 and a y-intercept of 1. The slope of 1/8 means that for every 1 unit increase in x, the y-value will increase by 1/8. The y-intercept of 1 indicates that the line crosses the y-axis at the point (0, 1). Therefore, this equation accurately represents the linear relationship between x and y for the given line.
9.
What is the linear equation of the following line?
Correct Answer
A. Y = 1/5x - 2
Explanation
The given equation, y = 1/5x - 2, represents a linear equation. It is in the form y = mx + b, where m is the slope (1/5) and b is the y-intercept (-2). Therefore, the correct linear equation for the given line is y = 1/5x - 2.
10.
What is the linear equation of the following graph in y = mx + b form (where m is slope and b is the y-intercept)
Correct Answer
y = 2
y= 2
y =2