Which is the graph of y= 1/2x ?
Answers
Answer:
Option C gives the graph for given equation.
Step-by-step explanation:
We are given the following equation of line:
comparing the equation to point slope form of straight line:
where m is the slope of line and c id the y-intercept.
On comparing, we get,
Also, (2,1) will lie on this line.
Thus, the given equation have graph given in Option C.
The points on the graph are (2, 1) and (-4, -2) extending the line and we get a straight line that represents the graph of y = (1/2)x.
Option C is the correct answer.
We have,
The equation y = (1/2)x represents a linearfunction in slope-intercept form, where the coefficient of x (1/2) represents the slope and the constant term (0) represents the y-intercept.
Now,
The graph of y = (1/2)x is a straightline that passes through the origin (0, 0) because the y-intercept is 0.
The slope of the line is 1/2, which means that for every unit increase in x, the corresponding y-value increases by 1/2.
Since the slope is positive, the line slants upward from left to right. It has a gentle slope, indicating a less steep increase compared to a larger slope.
The points on the graph of y = (1/2)x can be obtained by choosing values for x and calculating the corresponding y-values using the equation.
For example:
When x = 2, y = (1/2)(2) = 1. So we have the point (2, 1).
When x = -4, y = (1/2)(-4) = -2. So we have the point (-4, -2).
Thus,
By connecting these points and extending the line, we get a straight line that represents the graph of y = (1/2)x.
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y = 2x - 7 Pease show all steps
Answers
3x-9=2y and
(3x)/2-9/2=y
2) y=2x-7
if you mean the intersection , so y=y
(3x)/2-9/2=2x-7
1,5x-4,5=2x-7
-4,5+7=2x-1,5x
2,5=0,5x
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Answers
Answers
x+y=83
Since we already know one is 45, we substitute one of them for 45.
45+x=83
Subtract 45 on each side
x=38
The other number is 38. Hope this helps.
Answers
Answer:
36
Step-by-step explanation:
72 divided by 2 to get a quotient of 36
Answer:
36
Step-by-step explanation:
72/2=36 50% of 72 is 36
Answers
Answer:
Step-by-step explanation:
y = mx + b
Where:
y is the dependent variable (in this case, the values in the "y" column).
x is the independent variable (in this case, the values in the "x" column).
m is the slope of the line.
b is the y-intercept (the value of y when x is 0).
We can calculate the slope (m) using two points from the table. Let's use the points (3, 14) and (7, 30):
m = (y2 - y1) / (x2 - x1)
m = (30 - 14) / (7 - 3)
m = 16 / 4
m = 4
Now that we have found the slope (m), we can determine the equation:
y = 4x + b
To find the y-intercept (b), we can use one of the points from the table. Let's use the point (3, 14):
14 = 4(3) + b
14 = 12 + b
Now, solve for b:
b = 14 - 12
b = 2
So, the equation that models the relationship between x and y in the table is:
y = 4x + 2
Therefore, the correct equation is: y = 4x + 2.