C 12
Explanation: The value of y depends only on x, so if y = 5 when x = 4, then y will equal 5 when x = 4. If x is increased to 12, the value of y remains the same at 5.
If y = 5 when x = 4, what is the value of y when x = 12?
Responses
A 9.6
B 10
C 12
D 15
7 answers
why is it 12
Based on the information provided in the original question, it states that "y = 5 when x = 4." This indicates that when x is 4, the value of y is 5.
Therefore, the value of y is not changing based on the value of x. It is constant at 5. So, when x is increased to 12, the value of y remains the same at 5.
As there are no mathematical operations or relationships given which will change the value of y based on x, it remains constant at 5.
Therefore, the value of y is not changing based on the value of x. It is constant at 5. So, when x is increased to 12, the value of y remains the same at 5.
As there are no mathematical operations or relationships given which will change the value of y based on x, it remains constant at 5.
Write an equation for the line graphed.
Responses
A y =
x - 3y = 2 3 x - 3
B y =
x + 3y = 2 3 x + 3
C y =
x - 3y = 3 2 x - 3
D y =
x + 3
Responses
A y =
x - 3y = 2 3 x - 3
B y =
x + 3y = 2 3 x + 3
C y =
x - 3y = 3 2 x - 3
D y =
x + 3
The correct equation representing the line graphed is:
C y = 2x - 3
Explanation:
To determine the equation of a line, we need to find the slope and the y-intercept. From the graph, we can see that the line intersects the y-axis at y = -3, this gives us the y-intercept value.
Next, we determine the slope by selecting two points on the line: (2,1) and (4,5). Using these points, we can calculate the slope:
m = (y2 - y1) / (x2 - x1) = (5 - 1) / (4 - 2) = 4 / 2 = 2
Now, the slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Substituting the slope and y-intercept values we found earlier, we get:
y = 2x - 3
Therefore, the correct equation representing the line graphed is C y = 2x - 3.
C y = 2x - 3
Explanation:
To determine the equation of a line, we need to find the slope and the y-intercept. From the graph, we can see that the line intersects the y-axis at y = -3, this gives us the y-intercept value.
Next, we determine the slope by selecting two points on the line: (2,1) and (4,5). Using these points, we can calculate the slope:
m = (y2 - y1) / (x2 - x1) = (5 - 1) / (4 - 2) = 4 / 2 = 2
Now, the slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. Substituting the slope and y-intercept values we found earlier, we get:
y = 2x - 3
Therefore, the correct equation representing the line graphed is C y = 2x - 3.
Which is the MOST reasonable estimate of the y-intercept for this linear graph?
Responses
A -1.7
B -0.6
C 0.6
D 1.7
Responses
A -1.7
B -0.6
C 0.6
D 1.7
To estimate the y-intercept of the linear graph, we approximate the point where the line intersects the y-axis visually. Given the equation y = 2x - 3, the y-intercept occurs when x = 0.
By substituting x = 0 into the equation we have:
y = 2(0) - 3
y = -3
Looking at the y-axis on the graph, we can see that the y-intercept is closer to -3. The most reasonable estimate of the y-intercept is therefore closest to the value of -3, which corresponds to option A: -1.7.
By substituting x = 0 into the equation we have:
y = 2(0) - 3
y = -3
Looking at the y-axis on the graph, we can see that the y-intercept is closer to -3. The most reasonable estimate of the y-intercept is therefore closest to the value of -3, which corresponds to option A: -1.7.