Using a scale of 2cm to 1unit on the x-axis and 2cm to 1unit on the y-axis.plot the graph of y-3x+4
To plot the graph of y - 3x + 4, we can start by creating a table of values for x and y. We will then plot these points on a coordinate grid.
Let's choose some values for x to start with:
When x = 0, y = 4 - 3(0) + 4 = 8
When x = 1, y = 4 - 3(1) + 4 = 5
When x = 2, y = 4 - 3(2) + 4 = 2
Now, we can plot these points on a coordinate grid using the given scale of 2cm to 1 unit on both the x-axis and y-axis.
Plot the point (0, 8) by moving 4 units up from the origin (0, 0) on the y-axis.
Plot the point (1, 5) by moving 2 units right and 2.5 units down from the point (0, 8).
Plot the point (2, 2) by moving 4 units right and 6 units down from the origin.
After plotting these points, you can draw a line connecting them to represent the graph of y - 3x + 4.
Note: Since the given equation is in the form y = mx + b, where m is the coefficient of x (-3 in this case) and b is the y-intercept (4 in this case), the graph is a straight line.
To plot the graph of the equation y - 3x + 4, we need to identify at least two points on the graph and then connect them with a straight line.
To find the points, we can assign arbitrary values to x and calculate the corresponding values of y using the given equation.
Let's choose two values for x:
1. Let x = 0:
y - 3(0) + 4 = y - 0 + 4
y + 4 = y + 4
y = 0
So, when x = 0, y = 0. We have the first point (0, 0).
2. Let x = 2:
y - 3(2) + 4 = y - 6 + 4
y - 2 = y - 2
This equation simplifies to 0 = 0, which is true for any value of y.
This means that when x = 2, y can be any real number. Let's choose y = 2. So, we have the second point (2, 2).
Now, let's plot these two points on a graph. Since 2cm represents 1 unit on both the x and y axes, we can use this scale to draw the graph accurately.
Coordinate (0, 0):
Start at the origin (0, 0). This point is represented by the intersection of the x-axis and the y-axis.
Coordinate (2, 2):
Move 2 units to the right along the x-axis from the origin and then go up 2 units along the y-axis.
Now, we have two points on the graph: (0, 0) and (2, 2). Let's connect them with a straight line.
Using a ruler, draw a straight line passing through both points. This line represents the graph of the equation y - 3x + 4.
Note: The scale provided indicates that each unit on the x-axis or y-axis is equivalent to 2 cm. Make sure to label the axes of your graph accordingly.
To plot the graph of y - 3x + 4, we need to have some values for x and calculate the corresponding values for y using the equation. Let's choose a few values for x and find the corresponding y-values.
Let's start with x = 0:
y = 3(0) + 4
y = 0 + 4
y = 4
So, when x = 0, y = 4.
Next, let's choose x = 1:
y = 3(1) + 4
y = 3 + 4
y = 7
When x = 1, y = 7.
Lastly, let's choose x = -1:
y = 3(-1) + 4
y = -3 + 4
y = 1
When x = -1, y = 1.
With these values, we can now plot the graph.
Assuming each unit on the x-axis is represented by 2 cm and each unit on the y-axis is represented by 2 cm, we can start by marking the points (0, 4), (1, 7), and (-1, 1) on the coordinate plane according to the scale.