graph y = 2x - 3
and the domain is the real number
when i plot the point without goin them or with goin them ?
explain when i draw the line in grade papper
or
ony plot the point
The graph is a straight line on graph paper.
To draw a straight line you need two points to draw the line through.
For example find y when x = 0
y = 2(0) - 3
or y = -3
So your first point is (0,-3)
now pick some other value of x for a second y at a second point.
For example x = 5
then y = 2(5)-3
or y = 7
So your second point is (5,7)
so draw a straight line that goes through (0,-3) and (5,7)
ok when i plot the point i goin them or no? and why ?
Yes, you JOIN them by drawing a straight line from one to the other. All points that you plot should fit on the same straight line, for an equation like that. The real line is infinite (never ends) because the domain is all real numbers, but you can only show the the part that fits the range of your graph.
Ignore the word "correction" in my previous answer. I forgot to remove it following my name
To graph the equation y = 2x - 3, you have two options: plotting the points individually or drawing the line directly.
To plot the points individually, you can select a few x-values, substitute them into the equation, and calculate the corresponding y-values. For example, you could choose x = -3, -2, 0, 1, and 2. By substituting these values into the equation y = 2x - 3, you can find the corresponding y-values:
When x = -3: y = 2(-3) - 3 = -9
When x = -2: y = 2(-2) - 3 = -7
When x = 0: y = 2(0) - 3 = -3
When x = 1: y = 2(1) - 3 = -1
When x = 2: y = 2(2) - 3 = 1
After obtaining these points (-3, -9), (-2, -7), (0, -3), (1, -1), and (2, 1), you can plot them on the graph paper, creating a complete set of points that lie on the line. Then, you can connect these points to form a straight line.
Alternatively, you can also graph the equation by drawing the line directly. In this case, you don't need to plot individual points. Instead, you need to determine the slope and y-intercept of the equation y = 2x - 3.
The slope (m) of the equation y = 2x - 3 is 2. It represents the rate of change, or how much y increases or decreases for each increase of one unit in x.
The y-intercept (b) of the equation y = 2x - 3 is -3. It represents the point at which the line intersects the y-axis (when x = 0).
With these values, you can start by marking the y-intercept on the graph paper (0, -3). Then, using the slope, you can determine the direction of the line. Since the slope is positive (2), the line will slant upward from left to right. To graph the line, you can extend it by going up 2 units and to the right 1 unit from the y-intercept. Repeat this process until you have enough points to draw a straight line.
Remember, regardless of the method you choose (plotting points or drawing the line directly), the domain of the equation y = 2x - 3 over the real numbers means that you can pick any real number for x and find the corresponding y-value.